8. Simplify 2² *2³*5/2²*4²*5³
Answers
Answer:
Order of operations dictates that we solve equations by addressing Parentheses‡, Exponents, Multiplication/Division, then Addition/Subtraction in that order†. This is often abbreviated as PEMDAS.
Original problem: 33−22×5=?
Okay, now what operations are in this problem?
Exponents
Multiplication
Subtraction
Now, since Exponents come first in our order of operations, let’s start there, moving left to right.
33=?
3×3×3=
9×3=
27
Substituting that back into the original equation, we get: 27−22×5=?
Exponents round 2:
22=
2×2=
4
New equation: 27−4×5=?
Multiplication:
4×5=?
20
New equation: 27−20=?
Subtraction/final step:
27−20=?
7
To put it all together just to have it in a nice block, this is what we did:
33−22×5=?
33=27
27−22×5=?
22=4
27−4×5=?
4×5=20
27−20=?
7
Answer:
1/25
Step-by-step explanation:
2²*2³*5/2²*4²*5³
2²=4
2³=8
4²=16
5³=125
solution-
=4*8*5/4*16*125
=1/50
hope it is correct .....