Answer:
Simplify:- (i) (4²×5- ²) (4²÷5²)
(ii) (1⁰+2⁰+3⁰) ÷ (x⁰+y⁰)
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(i) Let's simplify the expression step by step:
(4²×5-²) (4²÷5²)
First, let's simplify the exponents:
4² = 16
5² = 25
Now, let's substitute these values into the expression:
(16×1/25) (16÷25)
Next, let's simplify the multiplications and divisions:
(16/25) (16/25)
Now, let's simplify the expression inside the parentheses:
(256/625)
Therefore, the simplified expression is 256/625.
(ii) Let's simplify the expression step by step:
(1⁰+2⁰+3⁰) ÷ (x⁰+y⁰)
Any number raised to the power of 0 is equal to 1, so we can simplify the expression:
(1+1+1) ÷ (x⁰+y⁰)
Now, let's simplify the addition:
(3) ÷ (x⁰+y⁰)
Any number divided by 1 is equal to the number itself, so we have:
3 ÷ (x⁰+y⁰)
Since x⁰ and y⁰ are both equal to 1, we can further simplify:
3 ÷ (1+1)
Simplifying the addition:
3 ÷ 2
Finally, let's divide:
3/2
Therefore, the simplified expression is 3/2.
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Answers & Comments
Answer:
Simplify:- (i) (4²×5- ²) (4²÷5²)
(ii) (1⁰+2⁰+3⁰) ÷ (x⁰+y⁰)
ChatGPT
(i) Let's simplify the expression step by step:
(4²×5-²) (4²÷5²)
First, let's simplify the exponents:
4² = 16
5² = 25
Now, let's substitute these values into the expression:
(16×1/25) (16÷25)
Next, let's simplify the multiplications and divisions:
(16/25) (16/25)
Now, let's simplify the expression inside the parentheses:
(256/625)
Therefore, the simplified expression is 256/625.
(ii) Let's simplify the expression step by step:
(1⁰+2⁰+3⁰) ÷ (x⁰+y⁰)
Any number raised to the power of 0 is equal to 1, so we can simplify the expression:
(1+1+1) ÷ (x⁰+y⁰)
Now, let's simplify the addition:
(3) ÷ (x⁰+y⁰)
Any number divided by 1 is equal to the number itself, so we have:
3 ÷ (x⁰+y⁰)
Since x⁰ and y⁰ are both equal to 1, we can further simplify:
3 ÷ (1+1)
Simplifying the addition:
3 ÷ 2
Finally, let's divide:
3/2
Therefore, the simplified expression is 3/2.
Answer: