Question

Simplify. Enter the original expression if it cannot be further simplified. (q^(2))^(2)(q^(2))^(2)

Answer 1

To simplify the expression (q^2)^2(q^2)^2, apply the power of a power rule by multiplying the exponents of the same base. The simplified expression is q^8.

Step-by-step explanation:

The expression (q2)2(q2)2 can be simplified by applying the power of a power rule. According to this rule, when raising a power to another power, you multiply the exponents. In this case, since we are multiplying two expressions with the same base, q2, we can add their exponents together.

So, (q2)2(q2)2 = q2×2 × q2×2 = q4 × q4 = q8.

Therefore, the simplified expression is q8.

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