Find the value of -(-4)⁴

Solution:

Given, -(-4)⁴

We have to find the value of the given notation.

-(-4)⁴ can be written as -(-1 × 4)⁴

-(-1 × 4)⁴ = -[(-1)⁴ × (4)⁴]

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

Here, n = 4, n is a even number

(-1)⁴ = 1

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

a^m = a × a × a⋯ m times

Here, m = 5

(4)⁴ = 4 × 4 × 4 × 4

= 16 × 16

= 256

-[(-1)⁴ × (4)⁴]= -(1 × 256) = -256

Therefore, -(-4)⁴ = -256

✦ Try This: Find the value of -(-5)⁴

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

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

Find the value of -(-4)⁴

Summary:

The value of -(-4)⁴ is -256.

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