The value of 3⁵ ÷ 3^-6 is
(a) 3⁵
(b) 3^-6
(c) 3¹¹
(d) 3^-11

Solution:

The Correct answer is (c)

Given, 3⁵ ÷ 3^-6

Using the law of exponents we have am = 1/a-m

3⁵ ÷ 3^-6 = 3⁵ × 3⁶

Using the law of exponents a^m × aⁿ = a^{m + n}

= 3¹¹

✦ Try This: The value of 7^-5 ÷ 7⁸ is (a) 7¹³, (b) 7^-13, (c) 7³, (d) 7^-3

The Correct answer is (b)

Given, 7^-5 ÷ 7⁸

Using the law of exponents we have a^-m = 1/a^m

7^-5 ÷ 7⁸ = 7^-5 × 7^-8 = 7^-13 Using the law of exponents a^m × aⁿ = a^{m + n}

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 5

The value of 3⁵ ÷ 3^-6 is (a) 3⁵, (b) 3^-6, (c) 3¹¹, (d) 3^-11

Summary:

The value of 3⁵ ÷ 3^-6 = 3¹¹

☛ Related Questions:

• The value of (2/5)-2 is (a) 4/5, (b) 4/25, (c) 25/4, (d) 5/2
• The reciprocal of (2/5)-1 is (a) 2/5, (b) 5/2, (c) -5/2, (d) -2/5
• The multiplicative inverse of 10-100 is (a) 10, (b) 100, (c) 10100, (d) 10-100