5⁵ × 5⁻⁵ = __________. Fill in the blank to make the statement true.

Solution:

Given, 5⁵ × 5⁻⁵ = __________.

Using the law of exponents,

a^m × aⁿ = a^{m + n}

From the given expression,

m = 5

n = -5

So, m + n = 5 - 5

= 0

Now, a^{m + n} = 5⁰

We know, a° = 1, where a ≠ 0

So, 5⁰ = 1

Therefore, 5⁵ × 5⁻⁵ = 1.

✦ Try This: 3⁵ × 3⁻³ = __________. Fill in the blank to make the statement true.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 37

5⁵ × 5⁻⁵ = __________. Fill in the blank to make the statement true.

Summary:

Using the law of exponents, a^m × aⁿ = a^m+n the value 5⁵ × 5⁻⁵ = 1 makes the statement true.

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☛ Related Questions:

• The value of (1/2³)² is equal to _________. Fill in the blank to make the statement true
• The expression for 8⁻² as a power with the base 2 is _________. Fill in the blank to make the statem . . . .
• Very small numbers can be expressed in standard form by using _________ exponents. Fill in the blank . . . .