Simplify (- square root of 7)(- square root of 7)

$(- \sqrt{7}) (- \sqrt{7})$

Step 1

Multiply $(- \sqrt{7}) (- \sqrt{7})$ .

Multiply $- 1$ by $- 1$ .

$1 \sqrt{7} \sqrt{7}$

Multiply $\sqrt{7}$ by $1$ .

$\sqrt{7} \sqrt{7}$

Raise $\sqrt{7}$ to the power of $1$ .

${\sqrt{7}}^{1} \sqrt{7}$

Raise $\sqrt{7}$ to the power of $1$ .

${\sqrt{7}}^{1} {\sqrt{7}}^{1}$

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

${\sqrt{7}}^{1 + 1}$

Add $1$ and $1$ .

${\sqrt{7}}^{2}$

Step 2

Rewrite ${\sqrt{7}}^{2}$ as $7$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{7}$ as $7^{\frac{1}{2}}$ .

${(7^{\frac{1}{2}})}^{2}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$7^{\frac{1}{2} \cdot 2}$

Combine $\frac{1}{2}$ and $2$ .

$7^{\frac{2}{2}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$7^{\frac{2}{2}}$

Rewrite the expression.

$7^{1}$

Evaluate the exponent.

$7$