Question

Rewrite the following expressions: 27^1/2 x 27^1/4

Answer 1

To rewrite the expression \( 27^{1/2} \times 27^{1/4} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).

So, we can combine the exponents:

\[
27^{1/2} \times 27^{1/4} = 27^{(1/2 + 1/4)}
\]

Next, we need to add the exponents \( 1/2 \) and \( 1/4 \). To do this, we find a common denominator, which is 4:

\[
1/2 = 2/4
\]
\[
1/4 = 1/4
\]

Now we can add them:

\[
1/2 + 1/4 = 2/4 + 1/4 = 3/4
\]

Thus, we have:

\[
27^{1/2} \times 27^{1/4} = 27^{3/4}
\]

So, the rewritten expression is:

\[
27^{3/4}
\]