smc-4214-10-Expanded form

Indices, SM-Bank 029

Write 625 in:

Expanded form. (1 mark)

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Index form. (1 mark)

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a. \(5\times 5\times 5\times 5\)

b. \(5^4\)

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a.	\(625\)	\(=5\times 125\)
		\(=5\times (5\times 25)\)
		\(=5\times 5\times 5\times 5\)

b. \(625=5^4\)

Indices, SM-Bank 028

Write \(100\ 000\) in:

Expanded form. (1 mark)

--- 2 WORK AREA LINES (style=lined) ---
Index form. (1 mark)

--- 1 WORK AREA LINES (style=lined) ---

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a. \(10 \times 10 \times 10 \times 10 \times 10\)

b. \(10^5\)

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a. \(100\ 000=10\times 10 \times 10 \times 10 \times 10\)

b. \(100\ 000=10^5\)

Indices, SM-Bank 026

Write \(10^7\) in expanded form. (1 mark)

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\(10\times 10 \times 10 \times 10 \times 10 \times 10 \times 10\)

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\(10^7\)

\(=10\times 10 \times 10 \times 10 \times 10 \times 10 \times 10\)

Indices, SM-Bank 017

Write \(27^2\times 2^3\) in expanded form. (2 marks)

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\(3\times 3\times 3\times 3\times 3\times 3\times 2\times 2\times 2\)

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\(27^2\times 2^3\)	\(=(27\times 27)\times(2\times 2\times 2)\)
	\(=(3\times 3\times 3)\times (3\times 3\times 3)\times (2\times 2\times 2)\)
	\(=3\times 3\times 3\times 3\times 3\times 3\times 2\times 2\times 2\)

Indices, SM-Bank 016

Write \(3^3\times 49^2\) in expanded form. (2 marks)

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\(3\times 3\times 3\times 7\times 7\times 7\times 7\)

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\(3^3\times 49^2\)	\(= (3\times 3\times 3)\times (7\times 7)^2\)
	\(= (3\times 3\times 3) \times (7\times 7)\times (7\times 7)\)
	\(=3\times 3\times 3\times 7\times 7\times 7\times 7\)

Indices, SM-Bank 008

Write \(20^2\times 32^1\times 16^4\) in expanded form. (2 marks)

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\(20\times 20\times 32\times 16\times 16\times 16\times 16\)

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\(20^2\times 32^1\times 16^4\)

\(=20\times 20\times 32\times 16\times 16\times 16\times 16\)

Indices, SM-Bank 007

Write \(7^1\times 5^4\times 4^3\) in expanded form. (2 marks)

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\(7\times 5\times 5\times 5\times 5\times 4\times 4\times 4\)

Show Worked Solution

\(7^1\times 5^4\times 4^3\)

\(=7\times 5\times 5\times 5\times 5\times 4\times 4\times 4\)

Indices, SM-Bank 006

Write \(3^3\times 2^3\) in expanded form and evaluate. (2 marks)

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\(3\times 3\times 3\times 2\times 2\times 2=216\)

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\(3^3\times 2^3\)	\(=3\times 3\times 3\times 2\times 2\times 2\)
	\(=27\times 8=216\)

Indices, SM-Bank 005

Write \(2^3+4^2\) in expanded form and evaluate. (2 marks)

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\(2\times 2\times 2+4\times 4=24\)

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\(2^3+4^2\)	\(=2\times 2\times 2+4\times 4\)
	\(=8+16=24\)

Indices, SM-Bank 004

Write \(6^4\) in expanded form. (1 mark)

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\(6\times 6\times 6\times 6\)

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\(6^4=6\times 6\times 6\times 6\)

Indices, SM-Bank 003 MC

Another way of writing \(4^3\) is

\(3+3+3+3\)
\(4\times 3\)
\(4\times 4\times 4\)
\(4+4+4\)

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\(C\)

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\(4^3=4\times 4\times 4\)

\(\Rightarrow C\)

Indices, SM-Bank 002 MC

Another way of writing \(2^4\) is

\(2\times 4\)
\(4\times 4\)
\(2+2+2+2\)
\(2\times 2\times 2\times 2\)

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\(D\)

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\(2^4=2\times 2\times 2\times 2\)

\(\Rightarrow D\)

Indices, SM-Bank 001 MC

Another way of writing \(5^2\) is

\(5\times 2\)
\(5\times 5\)
\(5+5\)
\(2\times 2\times 2\times 2\times 2\)

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\(B\)

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\(5^2=5\times 5\)

\(\Rightarrow B\)