The answer is 90/100 and it would simplify to 9/10
3+3/5 over 4 is how you start
Answer:
3x³y √(5xy)
Step-by-step explanation:
√(3x⁴y) √(15x³y²)
Multiply the radicands. When multiplying, add the exponents (xᵃ xᵇ = xᵃ⁺ᵇ).
√(45x⁴⁺³y¹⁺²)
√(45x⁷y³)
To simplify further, we need to factor out perfect squares (anything with an even exponent).
√(3²·5 x⁶x y²y)
√(3²x⁶y²) √(5xy)
Take the square root of the perfect square (halve the exponent).
3x³y √(5xy)
Simplifying
5m + -7 = 6m + -9
Reorder the terms:
-7 + 5m = 6m + -9
Reorder the terms:
-7 + 5m = -9 + 6m
Solving
-7 + 5m = -9 + 6m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-6m' to each side of the equation.
-7 + 5m + -6m = -9 + 6m + -6m
Combine like terms: 5m + -6m = -1m
-7 + -1m = -9 + 6m + -6m
Combine like terms: 6m + -6m = 0
-7 + -1m = -9 + 0
-7 + -1m = -9
Add '7' to each side of the equation.
-7 + 7 + -1m = -9 + 7
Combine like terms: -7 + 7 = 0
0 + -1m = -9 + 7
-1m = -9 + 7
Combine like terms: -9 + 7 = -2
-1m = -2
Divide each side by '-1'.
m = 2
Simplifying
m = 2
Divide by h
V/h = pi r squared
multiply by 1/V
h = pi r squared over V