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GrogVix [38]
3 years ago
13

A truck engine needs 3 1 over 4 gallons of oil change.How many quarts of oil are needed

Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0
It is going to be over 13 quarts.
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write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent
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Answer with positive exponent = \left(\frac{1}{5}\right)^3 or  \frac{1}{5^3}

Answer with negative exponent = 5^{-3}

===========================================================

Explanation:

The rule we use is

a^b*a^c = a^{b+c}

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

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To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

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