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Leto [7]
3 years ago
15

An art museum gift shop sells prints of a famous painting.  The original painting is 320 cm wide and 128 cm tall.  If the print

is 60 cm wide, how tall is the print?  
Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0

Answer:

i think is 70m and wide 30m

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Answer:

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Step-by-step explanation:

First, deal with the product of the two powers of 2 inside the parentheses.

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(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})^2 =

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You need a common denominator, 4, to add the fractions.

= (2^{\frac{2}{4} + \frac{3}{4}})^2

= (2^{\frac{5}{4}})^2

Now you have an exponent raised to an exponent. Multiply the exponents and reduce the fraction.

= 2^{\frac{5}{4} \times 2}

= 2^{\frac{10}{4}}

= 2^{\frac{5}{2}}

When a fraction is an exponent, the numerator is an exponent and the denominator is the index of the root. A denominator of 2 means a root index of 2 which means square root.

= \sqrt{2^5}

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