What is simplify-4X^3Y^{2\circ}5X^6Y^{-2\circ}(-8XYZ) ?

The solution to simplify-4X^3Y^{2\circ}5X^6Y^{-2\circ}(-8XYZ) is 160X^{10}YZ

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simplify-4X^3Y^{2\circ}5X^6Y^{-2\circ}(-8XYZ)

simplify

- 4 X^{3} Y^{2 \circ} 5 X^{6} Y^{- 2 \circ} (- 8 X Y Z)

160 X^{10} Y Z

Solution steps

- 4 X^{3} Y^{2 \circ} \cdot 5 X^{6} Y^{- 2 \circ} (- 8 X Y Z)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

X^{3} X^{6} = X^{3 + 6}

= - 4 Y^{2 \circ} \cdot 5 X^{3 + 6} Y^{- 2 \circ} (- 8 X Y Z)

Add the numbers:

3 + 6 = 9

= - 4 Y^{2 \circ} \cdot 5 X^{9} Y^{- 2 \circ} (- 8 X Y Z)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

Y^{2 \circ} Y^{- 2 \circ} = Y^{2 \circ - 2 \circ}

= - 4 \cdot 5 X^{9} Y^{2 \circ - 2 \circ} (- 8 X Y Z)

Add similar elements:

2 \circ - 2 \circ = 0

= - 4 \cdot 5 X^{9} Y^{0} (- 8 X Y Z)

Apply rule

a^{0} = 1, a \neq = 0

Y^{0} = 1

= - 4 \cdot 5 \cdot 1 \cdot X^{9} (- 8 X Y Z)

Refine

= 160 X^{9} X Y Z

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

X^{9} X = X^{9 + 1}

= 160 X^{9 + 1} Y Z

Add the numbers:

9 + 1 = 10

= 160 X^{10} Y Z

(- 8 - \frac{1}{10}) \cdot (- 10)

2 \cdot 3.14 \cdot 50 \cdot 1 0^{- 6}

8.15 \cdot 1 0^{- 3}

e^{- t} sin^{2} (t)

(6.67 \cdot 1 0^{- 11}) \cdot (1 \cdot 1 0^{30}) \cdot (8 \cdot 1 0^{30})

What is simplify-4X^3Y^{2\circ}5X^6Y^{-2\circ}(-8XYZ) ?
The solution to simplify-4X^3Y^{2\circ}5X^6Y^{-2\circ}(-8XYZ) is 160X^{10}YZ