Question

using the product rule of exponents, what is an equivalent form of 2 to the power of 6 x 2 to the power of three?
a) 2 to the power of 9
b) 2 tho the power of 18
c) 2 to the power of 3
d) 2 to the power of 2

Answer 1

Using the product rule of exponents, which states that \(a^m \times a^n = a^{m+n}\), we can combine the expressions:

\[
2^6 \times 2^3 = 2^{6+3} = 2^9.
\]

Therefore, the equivalent form of \(2^6 \times 2^3\) is:

**a) \(2^9\)**.