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2 years ago

Write Each Number As A Power Of 5

Mathematics

1 answer:

Lena [83]2 years ago

5 0

The numbers as powers of 5 are 5^-1, 5^-2, 5^-3 and 5^0

<h3>How to rewrite the numbers as a power of 5?</h3>

The numbers are given as:

• 0.2

• 0.04

• 125^-1

• 15^0

<u>Number 1: 0.2</u>

Express as fraction

1/5

Apply the power rule of indices

5^-1

<u>Number 2: 0.04</u>

Express as fraction

1/25

Express 25 as 5^2

1/5^2

Apply the power rule of indices

5^-2

<u>Number 3: 125^-1</u>

Express as fraction

1/125

Express 125 as 5^3

1/5^3

Apply the power rule of indices

5^-3

<u>Number 4: 15^0</u>

Evaluate the exponent

15^0 = 1

Express 1 as 5^0

15^0 = 5^0

Hence, the numbers as a power of 5 are 5^-1, 5^-2, 5^-3 and 5^0

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