simplify 2^3 3^5 please tell me
Answers
Answer:
you can simplify a fraction if the numerator (top number) and denominator (bottom number) can both be divided by the same number. six twelfths can be simplified to one half, or 1 over 2 because both numbers are divisible by 6. 6 goes into 6 once and 6 goes into 12 twice.
Step-by-step explanation:
Step by Step Solution
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STEP
1
:
3
Simplify —
5
Equation at the end of step
1
:
2 3
— - —
3 5
STEP
2
:
2
Simplify —
3
Equation at the end of step
2
:
2 3
— - —
3 5
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 5
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 1 0 1
5 0 1 1
Product of all
Prime Factors 3 5 15
Least Common Multiple:
15
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 3
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.