Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using a single exponent. \newline(7q8)2(7q^8)^2

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Powers of a power: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using a single exponent. \newline(7q8)2(7q^8)^2
  1. Apply Power Rule: Apply the power to a power rule.\newlineWhen raising a power to another power, we multiply the exponents. We also raise the numerical coefficient to the power of 22.\newline(7q8)2=72×(q8)2(7q^8)^2 = 7^2 \times (q^8)^2
  2. Calculate 727^2: Calculate 727^2.\newline72=7×7=497^2 = 7 \times 7 = 49
  3. Calculate (q8)2(q^8)^2: Calculate (q8)2(q^8)^2.(q8)2=q(8×2)=q16(q^8)^2 = q^{(8 \times 2)} = q^{16}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(7q8)2=49×q16(7q^8)^2 = 49 \times q^{16}

More problems from Powers of a power: variable bases

Question
Factor completely.\newline2x4+4x3−30x2= 2 x^{4}+4 x^{3}-30 x^{2}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Factor completely.\newline7x5−21x4+14x3= 7 x^{5}-21 x^{4}+14 x^{3}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline12÷115= 12 \div 1 \frac{1}{5}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline5÷313= 5 \div 3 \frac{1}{3}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline8÷145= 8 \div 1 \frac{4}{5}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the following expression.\newline40⋅8−102= 40 \cdot 8-10^{2}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the following expression.\newline9+62−2⋅8= 9+6^{2}-2 \cdot 8=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the expression. Do not round your answer.\newline(3+2)2−7= (3+2)^{2}-7=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the expression.\newlineDo not round your answer.\newline(4+3)2+5= (4+3)^{2}+5=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the following expression.\newline33−10+7= 3^{3}-10+7=
Get tutor helpright-arrow

Posted 10 months ago

View all (46)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant