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quester [9]
3 years ago
12

Find the expression below that is equivalent to 5^11/5^13

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
4 0
\dfrac{5^{11}}{5^{13}}

= 5^{11-13}

= 5^{-2}

=  \dfrac{1}{5^2}

=  \dfrac{1}{25}
zalisa [80]3 years ago
3 0
Hi there!

Answer:
\frac{ 5^{11} }{5 ^{13} } = 5 ^{11-13} =  5^{-2} = \frac{1}{ 5^{2} } = \frac{1}{25} = 0.04

Additional notes:
In the first step, I used the algebraic rules for the exponents in a fraction, which says the following:
\frac{ x^{a} }{ x^{b} } =  x^{a-b}

In the third step, I used the algebraic rules for negative exponents, which says the following:
x^{-a} =  \frac{1}{ x^{a} }
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Step-by-step explanation:

We are told in the question that:

A container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.

This means:

Length = 4.50 ft

Width = 7.20 ft

Depth(Height) = 5.00 inches

We have to convert all of these to centimeters first. Then to liters

1 foot = 30.48 centimetres

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4.5 ft = 4.5 × 30.48

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Width = 7.20 ft

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7.20 ft = 7.20 × 30.48 cm

= 219.456cm

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Cross Multiply

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The volume of the water(cm³) = Length × Width × Depth

= (137.16 × 219.456 × 12.7)cm³

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The volume of water in liters

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