The solution to -2/5 (4)^1 is -8/5

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-2/5 (4)^1

Solution

- \frac{2}{5} (4)^{1}

- \frac{8}{5}

Solution steps

- \frac{2}{5} (4)^{1}

Follow the PEMDAS order of operations

Calculate exponents

(4)^{1} : 4

(4)^{1}

(4)^{1} = 4

= 4

= - \frac{2}{5} \cdot 4

Multiply and divide (left to right)

- \frac{2}{5} \cdot 4 : - \frac{8}{5}

- \frac{2}{5} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= - \frac{2}{5} \cdot \frac{4}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{2}{5} \cdot \frac{4}{1} = \frac{2 \cdot 4}{5 \cdot 1}

= - \frac{2 \cdot 4}{5 \cdot 1}

Multiply the numbers:

2 \cdot 4 = 8

= - \frac{8}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= - \frac{8}{5}

= - \frac{8}{5}

- \frac{2}{5} (4)^{0}

28 - 12 \div 4 \cdot 2

(2 - 3) [[4 (- 2) + 1] + 1] + 1

3 + 6 \div 2 - 5

\frac{( 1 5 ^{3} 3 0 ^{2} 1 8 ^{2} )}{( 9 ^{3} 1 2 ^{4} 5 ^{6} )}