Find the value of x if 2^4×2^5=(2^5)^x
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2^4 * 2^ 5 = 16 * 32 = 512
512 = (2^5)^x
512 = 32 x 2^x
512/32 = 2^x
16 = 2^x
2^4 = 16.....
x = 4......
asgajinkar:
Ans.in the book is given 3
Answered by
0
Answer:
is the required value of x.
Step-by-step explanation:
Explanation:
Given in the question,
- Exponents are simply added when multiplying two numbers or variables with the same base.
- We multiply the bases and the same exponent when multiplying expressions with the same exponent but distinct bases.
Step 1:
We have,
⇒
Here we can see that base are same which is 2.
So, we take 2 as common and add the powers.
⇒
⇒
Now, we compare the powers
⇒ 9 = 5x
⇒ x =
Final answer:
Hence, is the required value of x.
#SPJ2
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