What is (2(-2)^2-1)/((-2)^2) ?

The solution to (2(-2)^2-1)/((-2)^2) is 1 3/4

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Popular >

(2(-2)^2-1)/((-2)^2)

Solution

\frac{2 ( - 2 ) ^{2} - 1}{( - 2 ) ^{2}}

Solution

1 \frac{3}{4}

Solution steps

\frac{2 ( - 2 ) ^{2} - 1}{( - 2 ) ^{2}}

Solve

2 (- 2)^{2} - 1 : 7

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= 2 \cdot 4 - 1

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 8 - 1

Add and subtract (left to right)

8 - 1 : 7

8 - 1

8 - 1 = 7

= 7

= 7

Solve

(- 2)^{2} : 4

Follow the PEMDAS order of operations

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= \frac{7}{4}

Convert improper fractions to mixed numbers:

\frac{7}{4} = 1 \frac{3}{4}

\frac{7}{4} = 1

Remainder

3

\frac{7}{4}

Write the problem in long division format

4 \overline{∣ 7}

Divide

7

4

to get

1

Divide

7

4

to get

1

1 4 \overline{∣ 7}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 7} \underline{4}

Subtract

4

from

7

1 4 \overline{∣ 7} \underline{4} 3

1 4 \overline{∣ 7} \underline{4} 3

The solution for Long Division of

\frac{7}{4}

1

with remainder of

3

1 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{7}{4} = 1 \frac{3}{4}

= 1 \frac{3}{4}

= 1 \frac{3}{4}

Popular Examples

2(1)^2-4(1)+2

2 (1)^{2} - 4 (1) + 2

3\times (-5)+23\times (-9)

3 \times (- 5) + 23 \times (- 9)

3(-2)^4+3(-2)^3-2(-2)+1

3 (- 2)^{4} + 3 (- 2)^{3} - 2 (- 2) + 1

-2-2+6

- 2 - 2 + 6

12\times 56-6\times 12

12 \times 56 - 6 \times 12

Frequently Asked Questions (FAQ)

What is (2(-2)^2-1)/((-2)^2) ?
The solution to (2(-2)^2-1)/((-2)^2) is 1 3/4