The expression equivalent to 4^-5 • 3^-5 is 12^-5
<h3>What are equivalent expressions?</h3>
Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
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Answer:
4√(xy³)
Step-by-step explanation:
8√(x²y⁶)
The above expression can be simplified as follow:
8√(x²y⁶)
Recall:
m√a = a^1/m
Therefore,
8√(x²y⁶) = (x²y⁶)^1/8
Recall:
(aⁿ)^1/m = a^(n/m)
Therefore,
(x²y⁶)^1/8 = x^(2/8)•y^(6/8)
= x^1/4•y^3/4
= (xy³)^1/4
Recall :
a^1/m = m√a
Therefore,
(xy³)^1/4 = 4√(xy³)
Therefore,
8√(x²y⁶) = 4√(xy³)
Answer:
48 liters
Step-by-step explanation:
First container = x
Second container has twice as much oil.
Second container = 2x
13 liters of oil was used from first container.
x - 13
7 liters of oil was used from the second container.
2x - 7
Second container has 3 times more oil than the first one.
2x - 7 = 3(x - 13)
x - 7 = 3(x - 13)
x - 7 = 3x - 39
2x = 32
x = 16
First container = 16 liters
second container = 16 x 2 = 32 liters
Total = 16 + 32 = 48 liters
Answer:
Some number divided by 4
Step-by-step explanation:
The y stands for an unknown number, aka some number. The slash indicates division, so it would be some number divided by 4.
