Question:
Which statement explains the property of integer exponents shown in this equation?
[tex]m^nm^p = m^{n+p}[/tex]
Answer:
To multiply two powers with the same base, add the exponents.
Solution:
Given that,
[tex]m^nm^p = m^{n+p}[/tex]
By exponent product rule,
[tex]a^m \times a^n = a^{m+n}[/tex]
Which means,
When multiplying two powers that have the same base, you can add the exponents
Therefore, from given,
[tex]m^nm^p[/tex]
Here, base is same i.e "m" and powers are different n and p
Add the powers as per rule
[tex]m^nm^p = m^{n+p}[/tex]
Thus, To multiply two powers with the same base, add the exponents.
