Question

Using the exponent properties, which of the following expressions is equivalent to (64−−√)23⋅640
?(1 point)
Responses

1
1

14
Start Fraction 1 over 4 End Fraction

64−13
64 superscript negative Start Fraction 1 over 3 End Fraction baseline

4

Answer 1

4

Work: √64 = 64^(1/2), so (√64)^(2/3) = 64^( (1/2)*(2/3) ) = 64^(1/3). Multiply by 64^0 = 1 gives 64^(1/3) = 4.