Exponents, Square & Cube Roots Quiz - ICSE Class 6 Mathematics
Free practice quiz: Exponents, Square & Cube Roots (ICSE Class 6 Mathematics). 51 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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If $2^x = 16$, what is the value of $x$? Also, find the value of $x^2$.
- x = 4, x^2 = 16
- x = 2, x^2 = 4
- x = 8, x^2 = 64
- x = 16, x^2 = 256
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Answer: A. x = 4, x^2 = 16
To solve $2^x = 16$, we need to express 16 as a power of 2. Since $2^4 = 16$, we have $x = 4$. Then, $x^2 = 4^2 = 16$.
What is the cube root of 125?
- 4
- 5
- 6
- 25
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Answer: B. 5
We are looking for a number that, when multiplied by itself three times, equals 125. Since $5 imes 5 imes 5 = 125$, the cube root of 125 is 5.
Calculate the value of $3^4$.
- 12
- 27
- 64
- 81
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Answer: D. 81
$3^4$ means 3 multiplied by itself four times: $3 imes 3 imes 3 imes 3 = 9 imes 9 = 81$.
Simplify $\frac{7^8}{7^4}$.
- 7^4
- 7^32
- 7^2
- 7^12
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Answer: A. 7^4
When dividing exponents with the same base, we subtract the powers. So, $\frac{7^8}{7^4} = 7^{8-4} = 7^4$.
Evaluate $4^3 - 2^4$.
- 48
- 32
- 16
- 64
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Answer: A. 48
$4^3 = 4 imes 4 imes 4 = 64$. $2^4 = 2 imes 2 imes 2 imes 2 = 16$. So, $64 - 16 = 48$.