Middle School

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------------------------------------------------ Select all of the expressions that are equal to the product \([tex]10x^9[/tex]\) and \([tex]60x^{-6}[/tex]\).

A. \([tex]10x^9 \cdot 60x^{-6}[/tex]\)

B. \([tex]600x^3[/tex]\)

C. \([tex]60x^{-6} \cdot 10x^9[/tex]\)

D. \([tex]600x^3[/tex]\)

E. \([tex]600 \cdot x^{9-6}[/tex]\)

F. \([tex]10 \cdot 60 \cdot x^{9-6}[/tex]\)

G. \([tex]600x^3[/tex]\)

Answer :

The expressions that are equal to the product of [tex]10x^9[/tex] and [tex]60x^{-6}[/tex] are:

[tex]\frac{10x^9}{60x^{-6}}[/tex] and [tex]\frac{x^{15}}{6}[/tex]

The given expressions are:

[tex]10x^9[/tex] and [tex]60x^{-6}[/tex]

The product of [tex]10x^9[/tex] and [tex]60x^{-6}[/tex] is written mathematically as:

[tex]10x^9 \times 60x^{-6}[/tex]

This can be written as:

[tex]\frac{10x^9}{60x^{-6}}[/tex]

Simplifying the expression above, we have:

[tex]\frac{x^9}{6x^{-6}}[/tex]

This can be further simplified as:

[tex]\frac{x^{9+6}}{6} \\\\\frac{x^{15}}{6}[/tex]

Therefore, the expressions that are equal to the product of [tex]10x^9[/tex] and [tex]60x^{-6}[/tex] are:

[tex]\frac{10x^9}{60x^{-6}}[/tex] and [tex]\frac{x^{15}}{6}[/tex]

Learn more here: https://brainly.com/question/15361818

Answer:

A and C

Step-by-step explanation:

Just got it right.

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