³√0.3×³√0.3×³√0.3

October 12, 2026Mathematics

ScanSolve AI Answer

Answer

0.3

4 steps

Rewrite the expression using exponent notation.
$\sqrt[3]{0.3} \times \sqrt[3]{0.3} \times \sqrt[3]{0.3} = (0.3)^{\frac{1}{3}} \times (0.3)^{\frac{1}{3}} \times (0.3)^{\frac{1}{3}}$
Apply the rule of exponents $a^m \times a^n \times a^p = a^{m+n+p}$ .
$(0.3)^{\frac{1}{3}} \times (0.3)^{\frac{1}{3}} \times (0.3)^{\frac{1}{3}} = (0.3)^{\frac{1}{3} + \frac{1}{3} + \frac{1}{3}}$
Sum the exponents.
$(0.3)^{\frac{1}{3} + \frac{1}{3} + \frac{1}{3}} = (0.3)^{\frac{3}{3}} = (0.3)^1$
Simplify the expression.
$(0.3)^1 = 0.3$
0.3

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