Evaluate (1/4)^-2-(5^02)1^-1

${(\frac{1}{4})}^{- 2} - (5^{0} \cdot 2) \cdot 1^{- 1}$

Simplify each term.

Change the sign of the exponent by rewriting the base as its reciprocal.

$4^{2} - 5^{0} \cdot 2 \cdot 1^{- 1}$

Raise $4$ to the power of $2$ .

$16 - 5^{0} \cdot 2 \cdot 1^{- 1}$

Anything raised to $0$ is $1$ .

$16 - 1 \cdot 1 \cdot 2 \cdot 1^{- 1}$

Multiply $1$ by $1^{- 1}$ by adding the exponents.

Move $1^{- 1}$ .

$16 - 1 \cdot (1^{- 1} \cdot 1) \cdot 2$

Multiply $1^{- 1}$ by $1$ .

Raise $1$ to the power of $1$ .

$16 - 1 \cdot (1^{- 1} \cdot 1^{1}) \cdot 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$16 - 1 \cdot 1^{- 1 + 1} \cdot 2$

Add $- 1$ and $1$ .

$16 - 1 \cdot 1^{0} \cdot 2$

Simplify $- 1 \cdot 1^{0} \cdot 2$ .

$16 - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$16 - 2$

Subtract $2$ from $16$ .

$14$

Evaluate (1/4)^-2-(5^0*2)*1^-1