Grade 7 Exponents Questions and Step-by-Step Math Solutions

Looking to master Grade 7 exponents? On this page, you will find carefully selected exponents questions in math with detailed, step-by-step solutions. These examples will help students understand the rules of exponents, practice simplifying powers, and build confidence in solving exponent problems. Perfect for students, parents, and teachers seeking clear explanations and reliable math practice.

Detailed Solutions to Questions on Exponents.

  1. Solution
    Use the definition of an exponent.
    1. \(8 \times 8 \times 8 \times 8 = 8^4 \quad \text{(8 multiplied by itself 4 times)}\)
    2. \(10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 = 10^7\)
    3. \(A \times A \times A = A^3\)
    4. \(\text{meter} \times \text{meter} = \text{meter}^2\)
    5. \(\text{centimeter} \times \text{centimeter} \times \text{centimeter} = \text{centimeter}^3\)
  2. Solution
    Expand each power using multiplication.
    1. \(2^4 = 2 \times 2 \times 2 \times 2 = 16\)
    2. \(10^4 = 10 \times 10 \times 10 \times 10 = 10{,}000\)
    3. \((-2)^4 = (-2) \times (-2) \times (-2) \times (-2) = 16\)
    4. \(-2^4 = -(2 \times 2 \times 2 \times 2) = -16\)
  3. Solution
    1. \(4 \times 8 = (2 \times 2) \times (2 \times 2 \times 2) = 2^5\)
    2. \(25 \times 5 = (5 \times 5) \times 5 = 5^3\)
    3. \(16 \times 4 \times 4^3 = (4 \times 4) \times 4 \times (4 \times 4 \times 4) = 4^6\)
    4. \(2 \times 2 \times 8 \times 2^3 = 2 \times 2 \times (2 \times 2 \times 2) \times (2 \times 2 \times 2) = 2^8\)
    5. \(B \times B \times B^3 = B \times B \times (B \times B \times B) = B^5\)
  4. Solution
    1. \(2^3 \times 2^4 = (2 \times 2 \times 2) \times (2 \times 2 \times 2 \times 2) = 2^7\)
    2. \(6 \times 6^3 = 6 \times (6 \times 6 \times 6) = 6^4\)
    3. \(5 \times 5^2 \times 5^3 = 5 \times (5 \times 5) \times (5 \times 5 \times 5) = 5^6\)

Links and References