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b3⋅(b4)2=bxb^3\cdot \left(b^4\right)^2=b^x

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Find derivatives using the quotient rule Iright chevron icon

Full solution

Q. b3⋅(b4)2=bxb^3\cdot \left(b^4\right)^2=b^x
  1. Simplify Exponent: Simplify the exponent inside the parentheses.\newline(b4)2=b4⋅2=b8 \left(b^4\right)^2 = b^{4 \cdot 2} = b^8
  2. Multiply Exponents: Multiply the exponents of the same base.\newlineb3⋅b8=b3+8=b11 b^3 \cdot b^8 = b^{3+8} = b^{11}
  3. Compare Exponents: Compare the exponents on both sides of the equation.\newlineb11=bx b^{11} = b^x \newlineSo, x=11 x = 11

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