Question
Solve the equation
x=−427426
Alternative Form
x≈−0.586283
Evaluate
x2×7x2(−2x)×3x2=1
Multiply
More Steps

Evaluate
x2×7x2(−2x)×3x2
Rewrite the expression
−x2×7x2×2x×3x2
Multiply the terms with the same base by adding their exponents
−x2+2+1+2×7×2×3
Add the numbers
−x7×7×2×3
Multiply the terms
More Steps

Evaluate
7×2×3
Multiply the terms
14×3
Multiply the numbers
42
−x7×42
Use the commutative property to reorder the terms
−42x7
−42x7=1
Change the signs on both sides of the equation
42x7=−1
Divide both sides
4242x7=42−1
Divide the numbers
x7=42−1
Use b−a=−ba=−ba to rewrite the fraction
x7=−421
Take the 7-th root on both sides of the equation
7x7=7−421
Calculate
x=7−421
Solution
More Steps

Evaluate
7−421
An odd root of a negative radicand is always a negative
−7421
To take a root of a fraction,take the root of the numerator and denominator separately
−74271
Simplify the radical expression
−7421
Multiply by the Conjugate
742×7426−7426
Multiply the numbers
More Steps

Evaluate
742×7426
The product of roots with the same index is equal to the root of the product
742×426
Calculate the product
7427
Reduce the index of the radical and exponent with 7
42
42−7426
Calculate
−427426
x=−427426
Alternative Form
x≈−0.586283
Show Solution
