Question

By simplifying 2^3*5^3, we get __________

(a) 10^6

(b) 100

(c) 1000

(d) 10^9

I have been asked this question in an international level competition.

The query is from Laws of Exponents for Real Numbers in division Number Systems of Mathematics – Class 9

Answer 1

Correct answer is (c) 1000

To explain: According to laws of exponents, (a^m)*(b^m) = (ab)^m

Applying that rule here, 2^3*5^3=(2*5)^3

=(10)^3

= 1000.