Question

The quotient rule for exponents states that bm bn=​_______, b≠0 . When dividing exponential expressions with the same nonzero​ base, _______ the exponents.

Answer 1

Answer:

The quotient rule for exponents states that $b^{m}\div b^{n}=b^{m-n}$.

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

• $x^{0}=1$
• $(x^{m})^{n}=x^{mn}$
• $x^{-n}=\frac{1}{x^{n}}$
• $x^{m}\cdot x^{n}=x^{m+n}$
• $\frac{x^{m}}{x^{n}}=x^{m-n}$

The quotient rule for exponents states that:

$b^{m}\div b^{n}=b^{m-n}$.

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Answer 2

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Exponential functions in indices

According to the quotient law of indices

• $\frac{a^m}{a^n} = a^{m-n}$

Based on the law, you can see that the expoenented was subracted since the base are equal.

The same is applicable to $\frac{b^m}{b^n}$. this can be expressed as $b^{m-n}$. This shows that when dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Learn more on quotient law of indices here: https://brainly.com/question/8952483