Question

. Generate an equivalent expression to
13^6
∙ 13
−1/2

Answer 1

To simplify the expression \( 13^6 \cdot 13^{-1/2} \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

So, in this case, we add the exponents:

\[
13^6 \cdot 13^{-1/2} = 13^{6 + (-1/2)} = 13^{6 - 1/2} = 13^{6 - 0.5} = 13^{5.5}
\]

Therefore, the equivalent expression is:

\[
13^{5.5}
\]

Alternatively, it can also be expressed as:

\[
13^{11/2}
\]

Both forms, \( 13^{5.5} \) and \( 13^{11/2} \), are equivalent.