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c.
2^(-3)*◻^(3)=10◻

c. $2^{-3} \cdot \square^{3}=10 \square$

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Multiplication with rational exponents

Full solution

Q. c.

2^{-3} \cdot \square^{3}=10 \square

Evaluate $2^{-3}$ : Step $1$ : Evaluate $2^{-3}$ .\ Calculate $2^{-3} = \frac{1}{2^3} = \frac{1}{8}$ .
Substitute $\frac{1}{8}$ : Step $2$ : Substitute $\frac{1}{8}$ into the equation. $\newline$ Replace $2^{-3}$ with $\frac{1}{8}$ in the equation: $\newline$ $\frac{1}{8} \times ◻^{3} = 10◻$ .
Isolate $◻^3$ : Step $3$ : Isolate $◻^3$ . Multiply both sides by $8$ to clear the fraction: $◻^3 = 80◻$ .
Simplify the equation: Step $4$ : Simplify the equation. $\newline$ Divide both sides by $\square$ , assuming $\square$ is not zero: $\newline$ $\square^{2} = 80$ .
Solve for $\square$ : Step $5$ : Solve for $\square$ . $\newline$ Take the square root of both sides: $\newline$ $\square = \sqrt{80}$ . $\newline$ Simplify $\sqrt{80}$ to $4\sqrt{5}$ .

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