Indices, SMB-006 MC

Select the expression that is equivalent to `(4^(-3) ÷ 4^6)^3`

`4^(-27)`
`4^(-9)`
`4^(-54)`
`4^(-6)`

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`A`

Show Worked Solution

`(4^(-3) -: 4^6)^3`	`= (4^(-3-6))^3`
	`= (4^(-9))^3`
	`= 4^(-9 xx 3)`
	`= 4^(-27)`

`=>A`