Evaluate. ((1)/(4))^(2)=

Understanding exponentiation of a fraction: Understand the exponentiation of a fraction. When a fraction is raised to a power, both the numerator and the denominator are raised to that power. In this case, (1/4)^2 means (1^2)/(4^2).Calculating the numerator: Calculate the numerator. 1^2 equals 1, because any number raised to the power of 2 is the number multiplied by itself. So, 1 * 1 = 1.Calculating the denominator: Calculate the denominator. 4^2 equals 16, because 4 multiplied by itself is 16. So, 4 * 4 = 16.Combining the numerator and denominator: Combine the results of the numerator and denominator. Now we have (1^2)/(4^2) which is 1/16.

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Grade 6

Multiply two decimals: where does the decimal point go?

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Q. Evaluate.

\newline

(\frac{1}{4})^{2}=

Understanding exponentiation of a fraction: Understand the exponentiation of a fraction. $\newline$ When a fraction is raised to a power, both the numerator and the denominator are raised to that power. In this case, $(1/4)^2$ means $(1^2)/(4^2)$ .
Calculating the numerator: Calculate the numerator. $\newline$ $1^2$ equals $1$ , because any number raised to the power of $2$ is the number multiplied by itself. So, $1 \times 1 = 1$ .
Calculating the denominator: Calculate the denominator. $\newline$ $4^2$ equals $16$ , because $4$ multiplied by itself is $16$ . So, $4 \times 4 = 16$ .
Combining the numerator and denominator: Combine the results of the numerator and denominator. $\newline$ Now we have $(1^2)/(4^2)$ which is $1/16$ .