Simplify and express the following in exponential form: (37 ÷ 35)4 - Mathematics

Question

Simplify and express the following in exponential form:

(3⁷ ÷ 3⁵)⁴

Sum

Solution

We have, (3⁷ ÷ 3⁵)⁴ = ${(\frac{3^{7}}{3^{5}})}^{4}$ = (3⁷ ^– ⁵)⁴ ...... $[∵ \frac{a^{m}}{a^{n}} = a^{m - n}]$

= (3²)⁴ = 3^2×4 ......[∵ (a^m)ⁿ = a^mn]

= 3⁸

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Miscellaneous Examples Using the Laws of Exponents

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Q 84. (c)Q 84. (b)Q 84. (d)

Chapter 11: Exponents and Powers - Exercise [Page 345]

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NCERT Exemplar Mathematics [English] Class 7

Chapter 11 Exponents and Powers
Exercise | Q 84. (c) | Page 345

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Simplify and express the following in exponential form: (37 ÷ 35)4 - Mathematics

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