b^3\cdot \left(b^4\right)^2=b^x what is the value of a

Recognize powers of b: Recognize the powers of b and simplify the expression. $ b^3 \cdot (b^4)^2 = b^3 \cdot b^8 $Add exponents: Add the exponents since the bases are the same. $ b^{3+8} = b^{11} $Set equal to b^x: Set the simplified expression equal to $ b^x $. $ b^{11} = b^x $Exponents must be equal: Since the bases are the same, the exponents must be equal. So, $ x = 11 $

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$b^3\cdot \left(b^4\right)^2=b^x$ what is the value of $x$ ?

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Grade 8

Solve equations using square roots

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b^3\cdot \left(b^4\right)^2=b^x

what is the value of

x

Recognize powers of b: Recognize the powers of b and simplify the expression. $\newline$ $b^3 \cdot (b^4)^2 = b^3 \cdot b^8$
Add exponents: Add the exponents since the bases are the same. $\newline$ $b^{3+8} = b^{11}$
Set equal to b^x: Set the simplified expression equal to $b^x$ . $\newline$ $b^{11} = b^x$
Exponents must be equal: Since the bases are the same, the exponents must be equal. $\newline$ So, $x = 11$