Question
Simplify the expression
176x7−8
Evaluate
x2×11x2×8x2×2x−8
Solution
More Steps

Evaluate
x2×11x2×8x2×2x
Multiply the terms with the same base by adding their exponents
x2+2+2+1×11×8×2
Add the numbers
x7×11×8×2
Multiply the terms
More Steps

Evaluate
11×8×2
Multiply the terms
88×2
Multiply the numbers
176
x7×176
Use the commutative property to reorder the terms
176x7
176x7−8
Show Solution

Factor the expression
8(22x7−1)
Evaluate
x2×11x2×8x2×2x−8
Multiply
More Steps

Evaluate
x2×11x2×8x2×2x
Multiply the terms with the same base by adding their exponents
x2+2+2+1×11×8×2
Add the numbers
x7×11×8×2
Multiply the terms
More Steps

Evaluate
11×8×2
Multiply the terms
88×2
Multiply the numbers
176
x7×176
Use the commutative property to reorder the terms
176x7
176x7−8
Solution
8(22x7−1)
Show Solution

Find the roots
x=227226
Alternative Form
x≈0.643021
Evaluate
x2×11x2×8x2×2x−8
To find the roots of the expression,set the expression equal to 0
x2×11x2×8x2×2x−8=0
Multiply
More Steps

Multiply the terms
x2×11x2×8x2×2x
Multiply the terms with the same base by adding their exponents
x2+2+2+1×11×8×2
Add the numbers
x7×11×8×2
Multiply the terms
More Steps

Evaluate
11×8×2
Multiply the terms
88×2
Multiply the numbers
176
x7×176
Use the commutative property to reorder the terms
176x7
176x7−8=0
Move the constant to the right-hand side and change its sign
176x7=0+8
Removing 0 doesn't change the value,so remove it from the expression
176x7=8
Divide both sides
176176x7=1768
Divide the numbers
x7=1768
Cancel out the common factor 8
x7=221
Take the 7-th root on both sides of the equation
7x7=7221
Calculate
x=7221
Solution
More Steps

Evaluate
7221
To take a root of a fraction,take the root of the numerator and denominator separately
72271
Simplify the radical expression
7221
Multiply by the Conjugate
722×72267226
Multiply the numbers
More Steps

Evaluate
722×7226
The product of roots with the same index is equal to the root of the product
722×226
Calculate the product
7227
Reduce the index of the radical and exponent with 7
22
227226
x=227226
Alternative Form
x≈0.643021
Show Solution
