Math

QuestionSimplify 15c8d015 c^{-8} d^{0} using only positive exponents.

Studdy Solution

STEP 1

Assumptions1. The expression to simplify is 15c8d015 c^{-8} d^{0}. . We need to write the answer using only positive exponents.

STEP 2

We need to understand the properties of exponents. Any number raised to the power of0 is1, and any number raised to a negative exponent is the reciprocal of that number raised to the positive of that exponent.

STEP 3

Let's simplify the expression d0d^{0} first. According to the properties of exponents, any number (except0) raised to the power of0 is1.
d0=1d^{0} =1

STEP 4

Now, let's simplify the expression c8c^{-8}. According to the properties of exponents, any number raised to a negative exponent is the reciprocal of that number raised to the positive of that exponent.
c8=1c8c^{-8} = \frac{1}{c^{8}}

STEP 5

Now, substitute d0d^{0} and c8c^{-8} in the original expression 15c8d015 c^{-8} d^{0}.
15c8d0=151c8115 c^{-8} d^{0} =15 \cdot \frac{1}{c^{8}} \cdot1

STEP 6

implify the expression.
15c8d0=15c815 c^{-8} d^{0} = \frac{15}{c^{8}}So, the simplified form of 15c8d015 c^{-8} d^{0} is 15c8\frac{15}{c^{8}}.

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