Question

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

= +

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

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

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



To multiply two powers with the same base, subtract the expo

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 * 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.