Question

3) (3x²y)* · (3xy3)2,

Answer 1

Ответ:

27x⁴y^7

Пошаговое объяснение:

(3x²y)•(3xy³)²=(3x²y)(9x²y^6)=27x⁴y^7

1) (3xy³)²=(3xy³)(3xy³)=9x²y^6

2) (3x²y)(9x²y^6)=27x⁴y^7

Answer 2

To simplify the expression (3x²y)* · (3xy³)², we need to perform the operations step by step.

Step 1: Simplify the exponents in the expression.

(3x²y)* means the whole term (3x²y) is raised to the power of 1.

(3xy³)² means the term (3xy³) is raised to the power of 2.

Step 2: Apply the exponent rules.

(a * b)^m = a^m * b^m

Using this rule, we can rewrite the expression as follows:

(3x²y)* · (3xy³)² = 3^1 * (x^2)^1 * y^1 * 3^2 * (x)^2 * (y^3)^2

Step 3: Simplify the expression further.

3^1 = 3 (since any number raised to the power of 1 is itself)

(x^2)^1 = x^2 (since any number raised to the power of 1 is itself)

(y^1) = y (since any number raised to the power of 1 is itself)

(y^3)^2 = y^(32) = y^6 (by applying the exponent rule: (a^m)^n = a^(mn))

Now, combining all the simplified terms, we get:

3 * x^2 * y * 3^2 * x^2 * y^6

Step 4: Calculate the numerical values.

3^2 = 9

Finally, the simplified expression is:

9x^2y * x^2y^6

We can further simplify this expression by adding the exponents of x and y:

9x^(2+2) * y^(1+6)

9x^4 * y^7

So, the fully simplified expression is:

9x^4y^7