Question

5.1 exponent properties: problem 12 (1 point)
simplify:
$(x^{7})^{7}=\square$
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Explanation:

Step1: Apply power - of - a - power rule

The power - of - a - power rule states that \((a^{m})^{n}=a^{m\times n}\). For the expression \((x^{7})^{7}\), where \(a = x\), \(m = 7\), and \(n = 7\).

$$ (x^{7})^{7}=x^{7\times7} $$

Step2: Calculate the exponent

Multiply the exponents \(7\times7 = 49\).

$$ x^{7\times7}=x^{49} $$

Answer:

\(x^{49}\)