Question

what is the pruduct rule of exponents

Answer 1

whats 2^4 times 2^2

Answer 2

The product rule of exponents states that when you multiply two powers that have the same base, you can add their exponents. In mathematical terms, if you have:

\[ a^m \times a^n = a^{m+n} \]

where \( a \) is the base and \( m \) and \( n \) are the exponents.

For example:

- \( 2^3 \times 2^2 = 2^{3+2} = 2^5 = 32 \)

This rule is a fundamental property of exponents and is widely used in algebra and calculus.

Answer 3

To calculate \(2^4 \times 2^2\) using the product rule of exponents, you can add the exponents:

\[
2^4 \times 2^2 = 2^{4+2} = 2^6
\]

Now, calculate \(2^6\):

\[
2^6 = 64
\]

So, \(2^4 \times 2^2 = 64\).