Exponents and Powers Quiz for Class 8

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Questions and Answers

What is the result of $5^3$?

  • $15$
  • $64$
  • $125$ (correct)
  • $100$

What is the value of $2^{-4}$?

  • $8$
  • $\frac{1}{16}$ (correct)
  • $-16$
  • $16$

Which of the following is equivalent to $3^2 \times 3^4$?

  • $3^{12}$
  • $3^8$ (correct)
  • $3^{24}$
  • $3^6$

Simplify $4^3 \div 4^2$.

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Flashcards

Exponent

The result of multiplying a number by itself a certain number of times. For example, 53 = 5 x 5 x 5 = 125.

Negative exponent

A negative exponent indicates the reciprocal of the base raised to the positive value of the exponent. For example, 2-4 = 1 / 24 = 1 / (2 x 2 x 2 x 2) = 1/16.

Multiplying exponents with the same base

When multiplying exponents with the same base, add the powers. For example, 32 x 34 = 3(2+4) = 36.

Dividing exponents with the same base

When dividing exponents with the same base, subtract the powers. For example, 43 / 42 = 4(3-2) = 41 = 4.

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Study Notes

What is the result of $5^3$? What is the value of $2^{-4}$? Which of the following is equivalent to $3^2 \times 3^4$? Simplify $4^3 \div 4^2$.

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