<span>The answer is (x</span>¹⁰<span>y</span>¹⁴<span>)/729.
Explanation:
We can begin simplifying inside the innermost parentheses using the properties of exponents. The power of a power property says when you raise a power to a power, you multiply the exponents. This gives us
[(3</span>³<span>x</span>³<span>y</span>⁻¹⁵<span>)/(x</span>⁸<span>y</span>⁻⁸<span>)]</span>⁻²<span>.
Negative exponents tell us to "flip" sides of the fraction, so within the parentheses we have
[(3</span>³<span>x</span>³<span>y</span>⁸<span>)/(x</span>⁸<span>y</span>¹⁵<span>)]</span>⁻²<span>.
Using the quotient property, we subtract exponents when dividing powers, which gives us
(3</span>³<span>/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Evaluating 3</span>³<span>, we have
(27/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Using the power of a power property again, we have
27</span>⁻²<span>/x</span>⁻¹⁰<span>y</span>⁻¹⁴<span>.
Flipping the negative exponents again gives us x</span>¹⁰<span>y</span>¹⁴<span>/729.</span>
Answer:
1/3.75
Step-by-step explanation:
Let:
Volume of sphere P = x
Volume Sphere Q = x + 150/100x
Volume of Q = x + 1.5x = 2.5x
Volume of R is 50% more than Q
Volume of R = (100 + 50)% of 2.5x
Volume of R = 150/100 * 2.5x
Volume of R = 1.5 * 2.5x = 3.75x
Volume of sphere P as a fraction of sphere R ;
Volume of P / volume of R
x / 3.75x
= 1/3.75
5 and 5/10s sounds like 5.5 so I'd do 5.5+0.02=5.52
Answer:
B
Step-by-step explanation:
Answer:
8.54
Step-by-step explanation:
formula:
d= 8.54
