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2 years ago

Write the following expressions as an exponential term with a single base (42^5)÷(2^3 1/16)

Mathematics

1 answer:

Schach [20]2 years ago

5 0

Answer:

2^8

Step-by-step explanation:

(4*2^5)÷(2^3 *1/16)

$\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8$

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For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm

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The ratio of the area of the first figure to the area of the second figure is 4:1

<h3>Ratio of the areas of similar figures </h3>

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

$(\frac{14 \ mm}{7 \ mm})^{2}$

$= \frac{196 \ mm^{2} }{49\ mm^{2} }$

$=\frac{4}{1}$

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446

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3 years ago

Write the following expressions as an exponential term with a single base (4*2^5)÷(2^3 *1/16)

Write the following expressions as an exponential term with a single base (42^5)÷(2^3 1/16)