Power Rule of Exponents Quick Check 2 of 5

Question

Which of the following
correctly used the Power Rule
of Exponents in the
expression (10 ) ? (1 point)
9
7
10
63
90
7
10
2
10

Answer 1

The Power Rule of Exponents states that when raising a power to another power, you multiply the exponents. The rule can be expressed as:

$$(a^m{)}^n=a^{m\cdot n}$$

So, if we consider the expression $({10}^7{)}^9$, we would apply the Power Rule as follows:

$$({10}^7{)}^9={10}^{7\cdot 9}={10}^{63}$$

Thus, the correct expression using the Power Rule of Exponents in this case is ${10}^{63}$.

So the answer is 10^63.