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Simplify (c-5)/(c^(2-25))

$\frac{c - 5}{c^{2 - 25}}$

Step 1

Move $c^{2 - 25}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$(c - 5) c^{- (2 - 25)}$

Step 2

Simplify the expression.

Subtract $25$ from $2$ .

$(c - 5) c^{- - 23}$

Multiply $- 1$ by $- 23$ .

$(c - 5) c^{23}$

$(c - 5) c^{23}$

Step 3

Apply the distributive property.

$c \cdot c^{23} - 5 c^{23}$

Step 4

Multiply $c$ by $c^{23}$ by adding the exponents.

Multiply $c$ by $c^{23}$ .

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

$c^{1} c^{23} - 5 c^{23}$

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

$c^{1 + 23} - 5 c^{23}$

$c^{1 + 23} - 5 c^{23}$

Add $1$ and $23$ .

$c^{24} - 5 c^{23}$

$c^{24} - 5 c^{23}$

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