Answer:
x=-3
Step-by-step explanation:
\left(5^3\right)^2\cdot 5^{x+4}=5^7
Apply\:exponent\:rule
x+10=7
x=-3
Answer: she made a sign error when multiplying and should have had 256 as a final answer
Step-by-step explanation:
When multiplying negatives, it you multiply an even number of negatives, the answer is a positive. And vise versa.
Multiplying exponents with the same base means we just have to add the exponents. We can multiply both the numerator and denominator of 1/4 by 2 to get 2/8, and adding 2/8 and 5/8, we get 7/8. So x^1/4 times x^5/8 is x^7/8.
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Hope this helps!
Answer:
C it was the fastest way to do it when I was in class
Answer: ≈ 5.2
Step-by-step explanation:
You're gonna want to use the Law of Cosines to solve:
c² = a² + b² -2abcos(R)
c² = 6² + 9² - 2(6)(9)cos(34°)
c² = 36 + 81 - 108cos(34°)
c² = 117 - 108(.82904)
c² = 27.46368
√c² = √27.46368 => 5.2405 = 5.2