You need to use FOO (fundamental orders of operation)
Answer:
Step-by-step explanation:
Given
Required
Evaluate
Separate each factor with multiplication sign
Express 8 as 4 * 2 and 
as 
Split each factor
Evaluate 
Apply law of indices:
Reorder
Hence:
Answer:
15/4, or 3 3/4 is your answer.
Step-by-step explanation:
Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Multiply 3/2 to both sides.
(3/2)(2/3)t = (5/2)(3/2)
t = (5/2)(3/2)
t = 15/4
15/4, or 3 3/4 is your answer.
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Answer:
X=-2
Step-by-step explanation: x is negative 1/3 of y. We can tell because of this example so when you divide y=6 by negative 1/3 it makes -2!
Answer:
x = 12
y = 9
z = 11
Step-by-step explanation:
so, let's just do all the calculations in there :
(3×5)⁴ = 3⁴×5⁴
(2×3)⁵ = 2⁵×3⁵
(2×5)⁷ = 2⁷×5⁷
multiplying all 3 terms is then
3⁴×5⁴×2⁵×3⁵×2⁷×5⁷
more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.
so, for the base of 2 we have
2⁵×2⁷ = 2¹²
for the base of 3 we have
3⁴×3⁵ = 3⁹
fire the base of 5 we have
5⁴×5⁷ = 5¹¹
so we get
2¹² × 3⁹ × 5¹¹
=>
x=12
y=9
z=11
