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$Evaluate. Write your answer as a whole number or as a simplified fraction. 2^(-2)*6^(-3)*10= ◻$

Evaluate. Write your answer as a whole number or as a simplified fraction. $\newline$ $2^{-2}$ $\cdot$ $6^{-3}$ $\cdot$ $10$ $=$ $\newline$ ◻

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Identify independent and dependent variables

Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.

\newline

2^{-2}

\cdot

6^{-3}

\cdot

10

=

\newline

◻

Simplify $2^{-2}$ : First, let's simplify $2^{-2}$ . This means $1/(2^2)$ , which is $1/4$ .
Simplify $6^{-3}$ : Next, simplify $6^{-3}$ . This is the same as $1/(6^3)$ , which is $1/216$ .
Multiply fractions: Now, multiply $\frac{1}{4}$ by $\frac{1}{216}$ . This gives us $\frac{1}{864}$ .
Multiply by $10$ : Finally, multiply $\frac{1}{864}$ by $10$ . This is the same as $\frac{10}{864}$ , which can be simplified.
Simplify final result: Simplify $\frac{10}{864}$ by dividing both numerator and denominator by $2$ . This gives us $\frac{5}{432}$ .

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