The solution to -1/5*5^6 is -3125

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-1/5*5^6

Solution

- \frac{1}{5} \cdot 5^{6}

- 3125

Solution steps

- \frac{1}{5} \cdot 5^{6}

Follow the PEMDAS order of operations

Calculate exponents

5^{6} : 15625

5^{6}

5^{6} = 15625

= 15625

= - \frac{1}{5} \cdot 15625

Multiply and divide (left to right)

- \frac{1}{5} \cdot 15625 : - 3125

- \frac{1}{5} \cdot 15625

Convert element to fraction:

15625 = \frac{15625}{1}

= - \frac{1}{5} \cdot \frac{15625}{1}

Apply the fraction rule:

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

\frac{1}{5} \cdot \frac{15625}{1} = \frac{1 \cdot 15625}{5 \cdot 1}

= - \frac{1 \cdot 15625}{5 \cdot 1}

\frac{1 \cdot 15625}{5 \cdot 1} = 3125

\frac{1 \cdot 15625}{5 \cdot 1}

\frac{1 \cdot 15625}{5 \cdot 1} = \frac{15625}{5}

\frac{1 \cdot 15625}{5 \cdot 1}

Multiply the numbers:

1 \cdot 15625 = 15625

= \frac{15625}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{15625}{5}

= \frac{15625}{5}

Divide the numbers:

\frac{15625}{5} = 3125

= 3125

= - 3125

= - 3125

(3 \div 2) (5 \div 2)

2 \times (18 - 15)

4 + \frac{1}{2}

- 2^{2} - 7 (- 2) - 8

(2 + 3 \times 5 - 1) + 5 - 7