Question

Question
Simplify:

10, x, to the power 8 , y, to the power 11 , \cdotp, 6, x, cubed, y, to the power 710x
8
y
11
⋅6x
3
y
7

Answer
Attempt 1 out of 2
Multiple Choice Answers
60, x, to the power 11 , y, to the power 1860x
11
y
18

60, x, to the power 24 , y, to the power 7760x
24
y
77

16, x, to the power 11 , y, to the power 1816x
11
y
18

16, x, to the power 24 , y, to the power 7716x
24
y
77

Answer 1

To simplify the expression \(10x^8y^{11} \cdot 6x^3y^{7}\), we'll follow these steps:

1. **Multiply the coefficients**:
\[
10 \cdot 6 = 60
\]

2. **Add the exponents of \(x\)**:
\[
x^8 \cdot x^3 = x^{8+3} = x^{11}
\]

3. **Add the exponents of \(y\)**:
\[
y^{11} \cdot y^{7} = y^{11+7} = y^{18}
\]

Now, combining all parts together, we have:
\[
60x^{11}y^{18}
\]

Thus, the simplified expression is \(60x^{11}y^{18}\).

Among the given multiple choice answers, the correct one is:
**60, \(x^{11}\), \(y^{18}\)**.