Answer:
B) -125a^11
Step-by-step explanation:
(-5a^2)^3·a^5 = (-5)^3·a^6·a^5
= (-5)^3·a^(2·3)·a^5
= (-5)^3·a^6·a^5
= -125·a^(6+5)
= -125·a^11 . . . . matches choice B
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The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
Answer:
x = 7
Step-by-step explanation:
Notice that in the triangle, the angle is either known or in terms of x. This means we can make an equation: 82 + (9x - 6) + (6x - 1) = 180. Now, add up tthe terms to get 15x + 75 = 180, or 15x = 105 or x = 7.
The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3
<h3 /><h3>SOH CAH TOA identity</h3>
The identity is used to find the measure of sides and acute angles of a right triangle
From the diagram shown, <ABC is the reference abgle hence;
Opposite side = 2,4cm
Hypotenuse .=10.3cm
According to the identity
sin x = opp/hyp
sinx = 2.4/10.3
sinx = 0.233
x = 13.47 degrees
Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
Step 3: Add those deviations together.
Step-by-step explanation: