If \(h\neq 0\), what is the simplified form of \(\frac{h^{12}}{h^7}\)?
Answer and explanation
Correct answer: \(h^5\)
When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{h^{12}}{h^7}=h^{12-7}=h^5\). Therefore, option A is correct. In option B, the exponents have been added, which is appropriate for multiplication, not division. Exam tip: remember \(a^m\div a^n=a^{m-n}\) for division of powers with the same base.
Frequently asked questions
What is the correct answer to this question?
\(h^5\)
Why is this the correct answer?
When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{h^{12}}{h^7}=h^{12-7}=h^5\). Therefore, option A is correct. In option B, the exponents have been added, which is appropriate for multiplication, not division. Exam tip: remember \(a^m\div a^n=a^{m-n}\) for division of powers with the same base.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
