Find the value of (-3)⁵

Solution:

Given, (-3)⁵

We have to find the value of the given notation.

(-3)⁵ can be written as (-1 × 3)⁵

(-1 × 3)⁵ = (-1)⁵ × (3)⁵

We know, (-1)ⁿ = -1, if n = odd number

Here, n = 5, n is an odd number

(-1)⁵ = -1

For any non-zero integers ‘a’ and whole numbers m

a^m = a×a×a⋯m times

Here, m = 5

(3)⁵ = 3 × 3 × 3 × 3 × 3

= 9 × 9 × 3

= 81 × 3

= 243

(-1)⁵ × (3)⁵ = -1 × 243 = -243

Therefore, (-3)⁵ = -243

✦ Try This: Find the value of (-7)⁵

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 75 (b)

Find the value of (-3)⁵

Summary:

The value of (-3)⁵ is -243

☛ Related Questions:

• Find the value of -(-4)⁴
• Express the following in exponential form : 3 × 3 × 3 × a × a × a ×a
• Express the following in exponential form : a × a × b × b × b × c × c × c × c