The solution to 2(5)(-3)^2 is 90

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2(5)(-3)^2

Solution

2 (5) (- 3)^{2}

90

Solution steps

2 (5) (- 3)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 2 (5) \cdot 9

Multiply and divide (left to right)

2 (5) \cdot 9 : 90

2 (5) \cdot 9

2 (5) = 10

2 (5)

Apply rule:

(a) = a

(5) = 5

= 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 10

= 10 \cdot 9

10 \cdot 9 = 90

= 90

= 90

\frac{2}{3} \cdot 1 + 12

100 - (1 0^{2} + 20) \cdot \frac{100}{4} - 10

\frac{5 ^{322}}{5 ^{321} + 5 ^{321}}

(5^{3} - 3^{4} - 6^{2})^{3}

([0]) \frac{4}{9} \div \frac{2}{9}