Simplify the expression: −(−2×3)6

Question

ScanSolve AI Tutor · Accepted Answer

The given simplification is incorrect. Here's the correct way to simplify the expression:

Evaluate the term inside the parentheses raised to the power of 6.
$(-2x^3)^6$
Apply the power to both the coefficient and the variable term:
$(-2)^6 \cdot (x^3)^6$
Calculate $(-2)^6$ .
Since the exponent is an even number, the result will be positive.
$(-2)^6 = 64$
Apply the power of a power rule for the variable term, $(x^m)^n = x^{m \cdot n}$ .
$(x^3)^6 = x^{3 \times 6} = x^{18}$
Combine the results from Step 2 and Step 3.
$(-2x^3)^6 = 64x^{18}$
Apply the negative sign that is outside the entire expression.
$-(-2x^3)^6 = -(64x^{18})$
Final simplification.
$-64x^{18}$

Simplify the expression: -(-2x3)6