Which expression is equivalent to 5y^3/(5y)^-2
1 answer:
Answer:
5^3 y^5
125 y^5
Step-by-step explanation:
5y^3/(5y)^-2
Distribute the exponent in the denominator
5y^3/(5 ^-2 y^-2)
A negative exponent in the denominator brings it to the numerator
5y^3 5 ^2 y^2
Combine like terms
5 * 5^2 * y^3 5^2
We know that a^b * a^c = a^(b+c)
5^(1+2) * y^( 3+2)
5^3 y^5
125 y^5
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They are vertical angles, thus they are equal to each other:
5x + 12 = 6x - 10
22 = x
x = 22
Answer:
8 cm and 9 cm
Step-by-step explanation:
The other two sides added together have to equal a larger number than 13, since 13 is the largest side.
5 + 8 = 13
6 + 7 = 13
7 + 2 = 9
8 + 9 = 17
Answer:
u > - 7
Step-by-step explanation:
7u - 32 < - 3(6-3u)
7u - 32 < - 18 + 9u
18-32 < - 7u + 9u
-14 < 2u
2u > - 14
u > - 7
5.96 into a fraction = 596/100 or 149.25
10^7 is the correct answer
