Question

How does the product of powers law apply to finding the power of a power?

Answer 1

The product of powers tells us about that multiplying the powers with the same number you have simply have to add the exponents,

for example;

=6^3 * 6^3

=6^3 *6^3 (^3+^3) we are just adding the exponents even thou the operation is multiplication.

= 36^6

The power of power tells us about multiplying both the expression including the exponents. Power rule tells us that a power to a power, just multiply the exponents.

for example;

=6^3 * 6^3

=6^3 * 6^3 (^3*^3) we are multiplying both of the expression

=36^9