(-9)³ ÷ (-9)⁸ is equal to
(a) (9)⁵
(b) (9)^-5
(c) (-9)⁵
(d) (-9)^-5

Solution:

The correct option is (d)

Given, (-9)³ ÷ (-9)⁸

Using the laws of indices (a^m/aⁿ) = a^{m - n}

(-9)3 ÷ (-9)⁸ = (-9)³ / (-9)⁸ = (-9)^{3 - 8}

= (-9)^-5

✦ Try This: (-5)⁷ ÷ (-5)^-9 is equal to (a) (5)¹⁶, (b) (5)^-16, (c) -(-5)¹⁶, (d) -(5)¹⁶

The correct option is (a)

Given, (-5)⁷ ÷ (-5)^-9

Using the laws of indices (a^m/aⁿ) = a^m-n

(-5)7 ÷ (-5)^-9 = (-5)⁷ / (-5)^-9 = (-5)⁷ - (-9)

= (-5)¹⁶ = (-1)¹⁶(5)¹⁶ =(5)¹⁶

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 20

(-9)³ ÷ (-9)⁸ is equal to (a) (9)⁵, (b) (9)^-5, (c) (-9)⁵, (d) (-9)^-5

Summary:

(-9)³ ÷ (-9)⁸ is equal to (-9)^-5

☛ Related Questions:

• For a non-zero integer x, x7 ÷ x12 is equal to (a) x5, (b) x19, (c) x-5, (d) x-19
• For a non-zero integer x, (x4)-3 is equal to (a) x12, (b) x-12, (c) x64, (d) x-64
• The value of (7-1 - 8-1)-1 - (3-1 - 4-1)-1 is (a) 44, (b) 56, (c) 68, (d) 12