Basic Math Examples

$\frac{(t^{5}) (t^{- 3})}{t^{- 7}}$

Step 1

Multiply $t^{5}$ by $t^{- 3}$ by adding the exponents.

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Step 1.1

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

$\frac{t^{5 - 3}}{t^{- 7}}$

Step 1.2

Subtract $3$ from $5$ .

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

Step 2

Move $t^{- 7}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$t^{2} t^{7}$

Step 3

Multiply $t^{2}$ by $t^{7}$ by adding the exponents.

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Step 3.1

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

$t^{2 + 7}$

Step 3.2

Add $2$ and $7$ .

$t^{9}$