What is simplified form of ((2^3 \times 5^3))
Answer and explanation
Correct answer: 10^3
For powers with the same exponent, use the rule \(a^n \times b^n=(ab)^n\). Thus, \(2^3 \times 5^3=(2\times5)^3=10^3\). Option B incorrectly adds the bases, while options C and D use incorrect operations. Exam tip: when the exponents are equal, multiply the bases and retain the common exponent.
Frequently asked questions
What is the correct answer to this question?
10^3
Why is this the correct answer?
For powers with the same exponent, use the rule \(a^n \times b^n=(ab)^n\). Thus, \(2^3 \times 5^3=(2\times5)^3=10^3\). Option B incorrectly adds the bases, while options C and D use incorrect operations. Exam tip: when the exponents are equal, multiply the bases and retain the common exponent.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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