Mathematics: Find the product of the expression: (3x^2) (5x^8) (6x^5)

B is the right answer because a is too short and c and d are too long...

Find the product of the expression: (3x^2) (5x^8)

PresleyPie2700

16.03.2022

$\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)=90x^{15}$

Step-by-step explanation:

Given the expression

$\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)$

Apply the exponent rule:

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

so the expression becomes

$\left(3x^2\right)\:\left(5x^8\right)\:\left(6x^5\right)=3\cdot \:\:5\cdot \:\:6x^{2+8+5}$

Add the exponent numbers: 2+8+5=15

$=3\cdot \:5\cdot \:6x^{15}$

Multiply the numbers: 3×5×6=90

$=90x^{15}$

Therefore, we conclude that:

$\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)=90x^{15}$

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