Simplify: (9x^(4))^(2) Answer:

Apply Power Rule: We have the expression: (9x^(4))^(2). According to the power of a power rule, when you raise a power to another power, you multiply the exponents. In this case, we have an exponent of 4 being raised to the power of 2.Calculate Numerical Coefficient: We apply the power of a power rule to both the numerical coefficient and the variable part. For the numerical coefficient 9, we have 9^2. For the variable part x^(4), we have (x^(4))^2.Calculate Variable Part: Calculating 9^2 gives us 81. For the variable part, we multiply the exponents: 4 * 2 = 8. So, (x^(4))^2 becomes x^(8).Combine Numerical and Variable Parts: Combining the numerical and variable parts, we get the final simplified expression: 81x^(8).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: $\newline$ $\left(9 x^{4}\right)^{2}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Grade 8

Relationship between squares and square roots

Full solution

Q. Simplify:

\newline

\left(9 x^{4}\right)^{2}

\newline

Answer:

Apply Power Rule: We have the expression: $9x^{(4)}$ ^{( $2$ )}. According to the power of a power rule, when you raise a power to another power, you multiply the exponents. In this case, we have an exponent of $4$ being raised to the power of $2$ .
Calculate Numerical Coefficient: We apply the power of a power rule to both the numerical coefficient and the variable part. For the numerical coefficient $9$ , we have $9^2$ . For the variable part $x^{4}$ , we have $(x^{4})^2$ .
Calculate Variable Part: Calculating $9^2$ gives us $81$ . For the variable part, we multiply the exponents: $4 \times 2 = 8$ . So, $(x^{4})^2$ becomes $x^{8}$ .
Combine Numerical and Variable Parts: Combining the numerical and variable parts, we get the final simplified expression: $81x^{8}$ .