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Selena is simplifying the expression (6h^5)^2. She wrote (6h^5)^2=|_| h^10.
What number should Selena put in the box? This is a self answer there are no answer choices

Respuesta :

We need to use following properties of exponents
[tex](xy)^{n} =x^{n}y^{n} \\ \\(x^{n})^{m}=x^{n*m}[/tex]

(6h⁵)² =6²h⁵*² = 36h¹⁰

Selena should put 36 in the box.
Cricetus

Answer:

36

Step-by-step explanation:

Here our original expression is [tex](6h^{5})^{2}[/tex]

Here we are going to apply to the rule of exponents.

[tex](xy)^{m}=x^{m}y^{n}[/tex]

Hence

[tex](6h^{5})^{2}=6^{2}*(h^{5})^{2}[/tex]

[tex]=36*(h^{5})^{2}[/tex]

Now we are going to apply the rule of the exponent as given under

[tex](a^{m})^{n}=a^{mn}[/tex]

[tex]36(h^{5})^{2} =36h^{10}[/tex]

Hence we will place 36 in the box with [tex]h^{10}[/tex]

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