a^m × aⁿ is equal to
(a) (a²)^mn
(b) a^m-n
(c) a^m+n
(d) a^mn

Solution:

We know that

If ‘a’ is a rational number and if m and n are natural numbers

a^m × aⁿ = a^{m + n}

Therefore, a^m × aⁿ is equal to a^m+n.

✦ Try This: For any two non-zero rational numbers x and y, x² ÷ y² is equal to __

It is given that

x² ÷ y² = x²/y²

We know that

pⁿ/qⁿ = (p/q)ⁿ

So we get

x²/y² = (x/y)²

It can be written as

x²/y² = (x ÷ y)²

Therefore, x² ÷ y² is equal to (x ÷ y)²

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

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NCERT Exemplar Class 7 Maths Chapter 11 Problem 5

a^m × aⁿ is equal to: (a) (a²)^mn, (b) a^m-n, (c) a^m+n, (d) a^mn

Summary:

a^m × aⁿ is equal to a^m+n

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• Value of (1022 + 1020)/1020 is: a. 10, b. 1042, c. 101, d. 1022
• The standard form of the number 12345 is: a. 1234.5 × 101, b. 123.45 × 102, c. 12.345 × 103, d. 1.23 . . . .