Example 1 · level 1
Find the value of 3⁶.
Show solution
- 3 × 3 × 3 × 3 × 3 × 3 = 729.
Answer: 729
CLASS 7 MATHS · EXPONENTS AND POWERS
Exponents and powers
aⁿ means a multiplied by itself n times. aᵐ × aⁿ = aᵐ⁺ⁿ and (aᵐ)ⁿ = aᵐⁿ.
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Worked examples
Example 2 · level 2
Simplify a³ × a⁵ ÷ a¹ and give the power of a.
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- a³ × a⁵ = a⁸.
- a⁸ ÷ a¹ = a⁷.
- Power = 7.
Answer: 7
Example 3 · level 3
Simplify (x⁶)³ × x⁴ and give the power of x.
Show solution
- (x⁶)³ = x¹⁸.
- x¹⁸ × x⁴ = x²².
- Power = 22.
Answer: 22