If 5 m -3-5-2-55- find the value of m-A- m -5 B- m -2C- m-4D- m -3

The correct option is C m=4By the Laws of Exponents, we know that a^m× b^n=a^m+n nbsp;(5)^m+3×(5)^ 2=(5)^m+3+( 2) =(5)^m+1 nbsp;(5)^m+1=(5)^5 Since the bases ...

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Byju's Answer

Standard VII

Mathematics

Multiplying Terms with the Same Base

If 5 m +3×5-2...

Question

If $(5)^{m + 3} \times (5)^{- 2} = (5)^{5}$ , find the value of m.

m=5

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m=2

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m=3

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m=4

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Solution

The correct option is D m=4
By the Laws of Exponents, we know that $a^{m} \times b^{n} = a^{m + n}$
$⟹ (5)^{m + 3} \times (5)^{- 2} = (5)^{m + 3 + (- 2)} = (5)^{m + 1} ⟹ (5)^{m + 1} = (5)^{5}$
Since the bases are same so we can equate the powers,
$⟹ m + 1 = 5 ⟹ m = 5 - 1 = 4$

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Similar questions

Q. If

m = 2

, find the value of:

m - 2, 3 m - 5, 9 - 5 m

3 m^{2} - 2 m - 7

\frac{5 m}{2} - 4

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

Q. Find the value of

m

for which

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

Q. Find the value of

m

for which

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

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

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If (5)m+3×(5)−2=(5)5, find the value of m.

The correct option is D m=4By the Laws of Exponents, we know that am×bn=am+n ⟹(5)m+3×(5)−2=(5)m+3+(−2)=(5)m+1⟹(5)m+1=(5)5 Since the bases are same so we can equate the powers, ⟹m+1=5⟹m=5−1=4

If $(5)^{m + 3} \times (5)^{- 2} = (5)^{5}$ , find the value of m.

The correct option is D m=4
By the Laws of Exponents, we know that $a^{m} \times b^{n} = a^{m + n}$
$⟹ (5)^{m + 3} \times (5)^{- 2} = (5)^{m + 3 + (- 2)} = (5)^{m + 1} ⟹ (5)^{m + 1} = (5)^{5}$
Since the bases are same so we can equate the powers,
$⟹ m + 1 = 5 ⟹ m = 5 - 1 = 4$