Which of the following expresses quotient law of exponents?

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a^{m} \div a^{n} = a^{m + n}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a^{m} \times b^{m} = (a b)^{m}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a^{m} \div a^{n} = a^{m - n}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B $a^{m} \div a^{n} = a^{m - n}$
The quotient law of exponents states that we can divide two powers with the same base by subtracting their exponents.

$∴ a^{m} \div a^{n} = \frac{a^{m}}{a^{n}} = a^{m - n}$

Suggest Corrections

Similar questions

Question 159(ii)

Using law of exponents, $a^{m} \times a^{n} = a^{m + n}$ [ $∵$ a is non-zero integer]

a

b

m

n

What is the value of the expression $\frac{a^{m}}{a^{n}}$ ?

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

$\frac{a^{m}}{a^{n}}$ = $a^{m - n}$ , m>n

Join BYJU'S Learning Program