a⁶ × a⁵ × a⁰ = a----. Fill in the blanks to make the statement true.

Solution:

Given, a⁶ × a⁵ × a⁰ = a----.

We have to fill in the blanks to make the statement true.

Considering a⁶ × a⁵,

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

a^m × aⁿ = a^m+n

Here, m = 6 and n = 5

m + n = 6 + 5

= 11

So, a⁶ × a⁵ = a¹¹

The expression becomes a¹¹ × a⁰.

Considering a¹¹ × a⁰,

Here, m = 11 and n = 0

m + n = 11 + 0

= 11

So, a¹¹ × a⁰ = a¹¹

Therefore, the required value is a¹¹.

✦ Try This: b⁵ × b⁵ × b⁶ = b----. Fill in the blanks to make the statement true.

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 31

a⁶ × a⁵ × a⁰ = a----. Fill in the blanks to make the statement true

Summary:

a⁶ × a⁵ × a⁰ = a¹¹

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