Question

The expression (8^2)^3 in the example problem is a product of powers. What are the powers being multiplied? What are the powers being multiplied in the expression (2^4)(5^4)?

Answer 1

a) 8²

b) 2⁴ and 5⁴

Explanation:

The power of a number is the base together with the exponent of the number.

The given expresion is

`( {8}^(2) )^(3)`

We can rewrite this as:

`{8}^(2) * {8}^(2) * {8}^(2)`

Over here the power being multiplied is

`{8}^(2)`

Also, the powers being multiplied in

`( {2}^(4) )( {5}^(4) )`

are 2⁴ and 5⁴