Question

Help me answer all of them even the word problem

Answer 1

Answer and Explanation:

When you raise a power to a power, you multiply the two exponents. As you can see,
`(a^(m))^(n) = a^(mn)` .

1.
`(k^(4))^(5) = k^(4*5) = k^(20)` . So, the answer is k^20

2.
`(8^(2))^(7) = 8^(2*7) = 8^(14)` . So, the answer is 8^14

3. When you have two items that you're taking the power of, you put the exponent on both terms. For example, here:

`(4p^(4))^(3) = 4^(3) * p^(4*3) = 4^3 * p^(12) = 64p^(12)` . So, the answer is 64p^12