Q. Evaluate the expression. Do not round your answer.31(4⋅3)+23=
Identify Components: Identify the components of the expression.The expression is (31)(4×3)+23. It consists of a fraction(31)(4×3) and an addition of 23.
Simplify Fraction: Simplify the fraction part of the expression.The fraction part is (1)/(3)(4∗3). First, multiply the numbers in the denominator: 4∗3=12. Then, the fraction becomes (1)/(3∗12).
Continue Simplifying: Continue simplifying the fraction.Now, multiply 3×12 to get 36. So, the fraction is (1)/(36).
Simplify Exponentiation: Simplify the exponentiation part of the expression.The exponentiation part is 23. Calculate 23=2×2×2=8.
Add Results: Add the results of the fraction and the exponentiation.Now, add the simplified fraction 361 to the result of 23, which is 8. So, the expression becomes 361+8.
Convert to Fraction: Convert the whole number to a fraction with the same denominator to add them.To add 8 to 361, convert 8 to a fraction with the denominator 36: 8=8×3636=36288.
Add Fractions: Add the two fractions.Now, add 361 to 36288 to get (361+288)=36289.