Surds and Indices Practice Test 1

Concept:A power represents repeated multiplication of the same number, where the base is multiplied by itself according to the exponent.Explanation:The third power of $4$ is written as $4^3$.In $4^3$, the number $4$ is the base and $3$ is the exponent.The exponent tells us to multiply the base by itself three times.So, $4^3 = 4 \times 4 \times 4$.First, multiply the first two factors: $4 \times 4 = 16$.Next, multiply this result by the remaining $4$: $16 \times 4 = 64$.Thus, the third power of $4$ equals $64$.This value matches option A exactly.Answer:$64$