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Tju [1.3M]
3 years ago
13

Choose the correct simplification of the expression (3x)^4.

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer: 81x^4

Step-by-step explanation:

The given expression: (3x)^4

The law of exponent says that

(ab)^n=a^nb^n

Therefore by applying the above law we get the given expression as:

(3x)^4=3^4x^4=

Since, 3^4=3\times3\times3\times3=81

Therefore, 3^4x^4=81x^4

Hence, the correct simplification of the expression (3x)^4=81x^4

Y_Kistochka [10]3 years ago
6 0
The exponent 4 needs to be applied to both 3 and x, so we would have:
3 * 3 * 3 * 3 * x^4.
9 * 9 * x^4.
81x^4
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Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.

Therefore, area of the rectangle in the picture = Length × Width

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Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.

Therefore, area of the garden = 2(area of the rectangle given in the garden)

                                                  = 2(32s⁵t) square feet.

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