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.