apply the product rule of exponents to form an equivalent expression of 1 to the power of 6 x 1 to the power of 2 x 1 to the power of 1.

Question

a) 1 to the power of 9
b) 1 to the power of 13
c) 1 to the power of 3
d) 1 to the power of 12

Answer 1

To apply the product rule of exponents, we can use the property that states \( a^m \times a^n = a^{m+n} \).

In this case, we have:

\[ 1^6 \times 1^2 \times 1^1 \]

Applying the product rule:

\[ 1^{6+2+1} = 1^{9} \]

So the equivalent expression is \( 1^9 \).

Thus, the correct answer is:

a) \( 1^{9} \).