a³ × a^-10 = __________. Fill in the blank to make the statement true.

Solution:

Given, a³ × a^-10 = __________.

Using the law of exponents,

a^m × aⁿ = a^{m + n}

From the given expression,

m = 3

n = -10

So, m + n = 3 - 10

= -7

Now, a^{m + n} = a^-7

Therefore, a³ × a^-10 = a^-7.

✦ Try This: a⁴ × a⁻⁵ = __________. Fill in the blank to make the statement true.

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

---

NCERT Exemplar Class 8 Maths Chapter 8 Problem 35

a³ × a^-10 = __________. Fill in the blank to make the statement true.

Summary:

Using the law of exponents, a^m × aⁿ = a^{m + n} the value a³ × a^-10 = a^-7 makes the statement true.

---

☛ Related Questions:

• 5⁰ = __________. Fill in the blank to make the statement true
• 5⁵ × 5⁻⁵ = __________. Fill in the blank to make the statement true
• The value of (1/2³)² is equal to _________. Fill in the blank to make the statement true