Select the expression that is equivalent to `(4^(-3) ÷ 4^6)^3`
`4^(-27)` | `4^(-9)` | `4^(-54)` | `(4^(-3 + 6))^4` | `4^(-6)` |
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Select the expression that is equivalent to `(4^(-3) ÷ 4^6)^3`
`4^(-27)` | `4^(-9)` | `4^(-54)` | `(4^(-3 + 6))^4` | `4^(-6)` |
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`4^(-27)`
`(4^(-3) ÷ 4^6)^3` | `= (4^(-3 – 6))^3` |
`= (4^(-9))^3` | |
`= 4^(-9 xx 3)` | |
`= 4^(-27)` |
Which number has the largest value?
`1/3` | `sqrt (0.16)` | `0.38` | `(0.6)^2` |
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`sqrt (0.16)`
`text(Express each as a decimal:)`
`1/3` | `= 0.333…` |
`sqrt(0.16)` | `= 0.4` |
`0.38` | `= 0.38` |
`(0.6)^2` | `= 0.36` |
`:. sqrt(0.16)\ text(is the largest value.)`
Which expression is equal to `6^3 xx 36^2`?
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`6 xx 3 xx 36 xx 2` |
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`6 xx 6 xx 6 xx 6 xx 6` |
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`6 xx 6 xx 6 xx 36 xx 6` |
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`6 xx 6 xx 6 xx 6 xx 6 xx 6 xx 6` |
`6 xx 6 xx 6 xx 6 xx 6 xx 6 xx 6`
`6^3 xx 36^2` | `= (6xx6xx6) xx (6xx6)^2` |
`= (6xx6xx6) xx (6xx6) xx (6 xx6)` | |
`=6 xx 6 xx 6 xx 6 xx 6 xx 6 xx 6` |
Complete the following equation,
`4^4 - 3^4 + 2^4 - 1^4 = ` |
`190`
`4^4 – 3^4 + 2^4 – 1^4`
`= (4 xx 4 xx 4 xx 4) – (3 xx 3 xx 3 xx 3) + (2 xx 2 xx 2 xx 2) – (1 xx 1 xx 1 xx1)`
`= 256 – 81 + 16 – 1`
`= 190`
1102 is a tri-square number because
`1^2 + 1^2 + 0^2 = 2`
The next tri-square number after 1102 is
`1104` | `1113` | `1209` | `1126` |
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`1113`
`1^2 + 1^2 + 1^2` | `= 1 + 1 + 1` |
`= 3` |
`:. 1113\ text(is the next tri-square number.)`
`2^5 - 2^3 = ` |
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Which number makes the expression above correct?
`4` | `8` | `24` | `28` |
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`24`
`2^5 – 2^3` | `=32 – 8` |
`=24` |
`7 xx 2^3 =`
`28` | `42` | `56` | `2744` |
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`56`
`7 xx 2^3` | `= 7 xx 2 xx 2 xx 2` |
`= 56` |
Which of the following has the same value as `7^(-11)?`
`-7^(-11)` | `7 xx (-11)` | `1/-7^11` | `1/7^11` |
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`1/7^11`
`1/7^11`
`30^2` is equal to which of the following?
`60^2 ÷ 3` | `3^2 xx 2 xx 5 xx 2 xx 5` | `9 xx 5^2` | `3 xx 10 xx 10` |
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`3^2 xx 2 xx 5 xx 2 xx 5`
`30^2 = 900`
`3^2 xx 2 xx 5 xx 2 xx 5`
`= 3^2 xx 10 xx 10`
`= 900`
Which of the following is equal to 32?
`2^3 xx 2^2` | `2^3 + 2^2` | `3^2 + 2^2` | `3^2 xx 2^2` |
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`2^3 xx 2^2`
`2^3 xx 2^2` | `= 8 xx 4` |
`= 32` |