Use the power rules for exponents to simplify the expression. Give your answer in exponential form.

Question

(7t)^2*(7t)^3

Answer 1

To simplify the expression \((7t)^2 \cdot (7t)^3\), we can use the power rule for exponents, which states that when multiplying like bases, we add the exponents.

Here, the base is \((7t)\), and we have:

\[ (7t)^2 \cdot (7t)^3 = (7t)^{2+3} \]

Now, we can add the exponents:

\[ (7t)^{2+3} = (7t)^5 \]

Therefore, the simplified expression in exponential form is:

\[ \boxed{(7t)^5} \]