Question

Which statement explains the property of integer exponents shown in this equation?

Answer 1

Question:

Which statement explains the property of integer exponents shown in this equation?

$m^nm^p = m^{n+p}$

Answer:

To multiply two powers with the same base, add the exponents.

Solution:

Given that,

$m^nm^p = m^{n+p}$

By exponent product rule,

$a^m \times a^n = a^{m+n}$

Which means,

When multiplying two powers that have the same base, you can add the exponents

Therefore, from given,

$m^nm^p$

Here, base is same i.e "m"  and powers are different n and p

Add the powers as per rule

$m^nm^p = m^{n+p}$

Thus, To multiply two powers with the same base, add the exponents.