Question
Solve the equation
Solve for x
x=2780
Alternative Form
x≈0.935061
Evaluate
15=8x3×3x4
Multiply
More Steps

Evaluate
8x3×3x4
Multiply the terms
24x3×x4
Multiply the terms with the same base by adding their exponents
24x3+4
Add the numbers
24x7
15=24x7
Swap the sides of the equation
24x7=15
Divide both sides
2424x7=2415
Divide the numbers
x7=2415
Cancel out the common factor 3
x7=85
Take the 7-th root on both sides of the equation
7x7=785
Calculate
x=785
Solution
More Steps

Evaluate
785
To take a root of a fraction,take the root of the numerator and denominator separately
7875
Multiply by the Conjugate
78×78675×786
Simplify
78×78675×22716
Multiply the numbers
More Steps

Evaluate
75×22716
Multiply the terms
780×22
Use the commutative property to reorder the terms
22780
78×78622780
Multiply the numbers
More Steps

Evaluate
78×786
The product of roots with the same index is equal to the root of the product
78×86
Calculate the product
787
Transform the expression
7221
Reduce the index of the radical and exponent with 7
23
2322780
Reduce the fraction
More Steps

Evaluate
2322
Use the product rule aman=an−m to simplify the expression
23−21
Subtract the terms
211
Simplify
21
2780
x=2780
Alternative Form
x≈0.935061
Show Solution