What is (4\times 10^2)/(5\times 10^2) ?

The solution to (4\times 10^2)/(5\times 10^2) is 4/5

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(4\times 10^2)/(5\times 10^2)

\frac{4 \cdot 1 0 ^{2}}{5 \cdot 1 0 ^{2}}

\frac{4}{5}

Solution steps

\frac{4 \cdot 1 0 ^{2}}{5 \cdot 1 0 ^{2}}

Solve

4 \cdot 1 0^{2} : 400

Follow the PEMDAS order of operations

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 4 \cdot 100

Multiply and divide (left to right)

4 \cdot 100 : 400

4 \cdot 100

4 \cdot 100 = 400

= 400

= 400

Solve

5 \cdot 1 0^{2} : 500

Follow the PEMDAS order of operations

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 5 \cdot 100

Multiply and divide (left to right)

5 \cdot 100 : 500

5 \cdot 100

5 \cdot 100 = 500

= 500

= 500

= \frac{400}{500}

Cancel the common factor:

100

= \frac{4}{5}

(2)^{2} - 2 (2) - 8

4 - \frac{1}{4} \times 1

4 + 5 - 7 + 2 - 8

3 (2) + (3) + 2

+ 2 - 2 + 23 - 36

What is (4\times 10^2)/(5\times 10^2) ?
The solution to (4\times 10^2)/(5\times 10^2) is 4/5