Question
Solve the equation
a=103350
Alternative Form
a≈0.70473
Evaluate
a×1×a×8a×15=42
Simplify
More Steps

Evaluate
a×1×a×8a×15
Rewrite the expression in exponential form
a3×1×8×15
Rewrite the expression
a3×8×15
Multiply the terms
a3×120
Use the commutative property to reorder the terms
120a3
120a3=42
Divide both sides
120120a3=12042
Divide the numbers
a3=12042
Cancel out the common factor 6
a3=207
Take the 3-th root on both sides of the equation
3a3=3207
Calculate
a=3207
Solution
More Steps

Evaluate
3207
To take a root of a fraction,take the root of the numerator and denominator separately
32037
Multiply by the Conjugate
320×320237×3202
Simplify
320×320237×2350
Multiply the numbers
More Steps

Evaluate
37×2350
Multiply the terms
3350×2
Use the commutative property to reorder the terms
23350
320×320223350
Multiply the numbers
More Steps

Evaluate
320×3202
The product of roots with the same index is equal to the root of the product
320×202
Calculate the product
3203
Reduce the index of the radical and exponent with 3
20
2023350
Cancel out the common factor 2
103350
a=103350
Alternative Form
a≈0.70473
Show Solution
