Find the value of m for which 5^m ÷5⁻³ = 5⁵.

Open in App

Solution

5^m ÷ 5⁻³ = 5⁵

5^m ^{− (− 3)} = 5⁵ (a^m ÷ aⁿ = a^m⁻ⁿ)

5^m^{+ 3} = 5⁵

Since the powers have same bases on both sides, their respective exponents must be equal.

m + 3 = 5

m = 5 − 3

m = 2

Suggest Corrections

210

Similar questions

m

5^{m} \div 5^{- 3} = 5^{5}

m

5^{m} / 5^{- 3} = 5^{5} .

Find the value of $m$ for which
$5^{m} \div 5^{- 3} = 5^{5}$

(5)^{m + 3} \times (5)^{- 2} = (5)^{5}

m

5^{m} \div 5^{- 3} = 5^{5}

4^{m} = 64

8^{m - 3} = 1

(a^{3})^{m} = a^{9}

(5^{m})^{2} \times (25)^{3} \times 125^{2} = 1

2^{m} = (8)^{\frac{1}{3}} \div (2^{3})^{2 / 3}

Join BYJU'S Learning Program