The exponential form for (-2)⁴ × (5/2)⁴ is 5⁴. State whether the statement is true or false.

Solution:

Given, the exponential form for (-2)⁴ × (5/2)⁴ is 5⁴.

We know, (-a)ⁿ = aⁿ, when n is even number

So, (-2)⁴ = 2⁴

Using law of exponents,

a^m/b^m = (a/b)^m

So, (5/2)⁴ = 5⁴/2⁴

Now, (-2)⁴ × (5/2)⁴ = 2⁴ × (5⁴/2⁴)

= 5⁴

Therefore, (-2)⁴ × (5/2)⁴ = 5⁴.

✦ Try This: The exponential form for (-3)⁶ × (5/3)⁶ is 5⁶. State whether the statement is true or false.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 84

The exponential form for (-2)⁴ × (5/2)⁴ is 5⁴. State whether the statement is true or false.

Summary:

The given statement, ”The exponential form for (-2)⁴ × (5/2)⁴ is 5⁴” is true using the laws of exponents

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