Answered

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Simplify:

[tex] \left(-6ba^3\right)^2 [/tex]

Write your answer without parentheses.

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\left( -6ba^3 \right)^2\)[/tex], we will follow these steps:

1. Square the Coefficient:
[tex]\[ (-6)^2 = 36 \][/tex]
Squaring [tex]\(-6\)[/tex] results in positive 36.

2. Square the Variables:
Each variable inside the parentheses is squared according to the exponentiation rule [tex]\((x^m)^n = x^{m \cdot n}\)[/tex].

- For [tex]\(b\)[/tex]:
[tex]\[ (b)^2 = b^2 \][/tex]

- For [tex]\(a^3\)[/tex]:
[tex]\[ (a^3)^2 = a^{3 \cdot 2} = a^6 \][/tex]

3. Combine Them:
We combine the squared coefficient and the squared variables into a single expression.
[tex]\[ 36 \cdot b^2 \cdot a^6 \][/tex]

Thus, the simplified form of the expression [tex]\(\left( -6ba^3 \right)^2\)[/tex] is:
[tex]\[ 36b^2a^6 \][/tex]
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