Question

Select the equivalent expression. (2^-10/4^2)^7

a. 2^-3x4^-9
b. 2^84
c. 1/2^70x4^14

Answer 1

`\Large \textsf{Read below}`

Explanation:

`\Large \text{$\sf \left((2^(-10))/(4^2)\right)^7 = \left((2^(-10))/((2^2)^2)\right)^7 $}`

`\Large \text{$\sf \left((2^(-10))/(4^2)\right)^7 = \left((2^(-10))/(2^4)\right)^7 $}`

`\Large \text{$\sf \left((2^(-10))/(4^2)\right)^7 = [\:2^(-10-4)\:]^7 $}`

`\Large \text{$\sf \left((2^(-10))/(4^2)\right)^7 = [\:2^(-14)\:]^7 $}`

`\Large \boxed{\boxed{\text{$\sf \left((2^(-10))/(4^2)\right)^7 = [\:2\:]^(-98) = (1)/(2^(70) *4^(14))$}}}`