(-2)³¹ × (-2)¹³ = (-2)^___. Fill in the blanks to make the statement true

Solution:

Given, (-2)³¹ × (-2)¹³ = (-2)^___.

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

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

a^m × aⁿ = a^m+n

Here, a = -2

Also, m = 31 and n = 13

a^m+n = (-2)^{31 + 13}

= (-2)⁴⁴

Therefore, the required value is (-2)⁴⁴

✦ Try This: (-3)¹⁰ × (-3)⁵ = (-3)^___. Fill in the blanks to make the statement true.

Given, (-3)¹⁰ × (-3)⁵ = (-3)^___.

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

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

a^m × aⁿ = a^m+n

Here, a = -3

Also, m = 10 and n = 5

m + n = 10 + 5

= 15

= (-3)¹⁵

Therefore, the required value is (-3)¹⁵

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

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NCERT Exemplar Class 7 Maths Chapter 11 Problem 23

(-2)³¹ × (-2)¹³ = (-2)^___. Fill in the blanks to make the statement true

Summary:

(-2)³¹ × (-2)¹³ = (-2)⁴⁴

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☛ Related Questions:

• (-3)⁸ ÷ (-3)⁵ = (-3)___. Fill in the blanks to make the statement true
• (11/15)⁴ × (___)⁵ = (11/15)⁹. Fill in the blanks to make the statement true
• (-1/4)³ × (-1/4)⁻⁻⁻⁻ = (-1/4)¹¹. Fill in the blanks to make the statement true