using the product rule of exponents, what is an equivalent form of 8 to the power of 2 x 8 to the power of 6?

Question

a) 8 to the power of (2+6)
b) 8 to the power of (2/6)
c) 8 to the power of ( 2x6)
d) 8 to the power of (2 -6)

Answer 1

Using the product rule of exponents, we know that when multiplying two expressions with the same base, we add the exponents. This means:

\[ 8^2 \times 8^6 = 8^{(2 + 6)} \]

Therefore, the equivalent form of \( 8^2 \times 8^6 \) is:

a) \( 8^{(2 + 6)} \).