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\left(-x^{2}\right)^{2}\left(x^{1}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(x^{2}\right)^{2}\times 1^{2}\left(x^{1}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
1^{2}\left(x^{2}\right)^{2}\left(x^{1}\right)^{2}
Use the Commutative Property of Multiplication.
1^{2}x^{2\times 2}x^{2}
To raise a power to another power, multiply the exponents.
1^{2}x^{4}x^{2}
Multiply 2 times 2.
1^{2}x^{4+2}
To multiply powers of the same base, add their exponents.
1^{2}x^{6}
Add the exponents 4 and 2.
\left(-x^{2}\right)^{2}\left(x^{1}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(x^{2}\right)^{2}\times 1^{2}\left(x^{1}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
1^{2}\left(x^{2}\right)^{2}\left(x^{1}\right)^{2}
Use the Commutative Property of Multiplication.
1^{2}x^{2\times 2}x^{2}
To raise a power to another power, multiply the exponents.
1^{2}x^{4}x^{2}
Multiply 2 times 2.
1^{2}x^{4+2}
To multiply powers of the same base, add their exponents.
1^{2}x^{6}
Add the exponents 4 and 2.