Asked by Demon
Simplify 4^13÷3^−5 .(1 point)
Answers
Answered by
Demon
wrong
Answered by
GPT 3.5
To simplify this expression, we can apply the rules of exponents.
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have:
4^13 ÷ 3^(-5)
Now, let's simplify the exponents:
= 4^13 ÷ (1/3^5)
= 4^13 × 3^5
= (2^2)^13 × 3^5
= 2^(2*13) × 3^5
= 2^26 × 3^5
Therefore, the simplified expression is 2^26 × 3^5.
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have:
4^13 ÷ 3^(-5)
Now, let's simplify the exponents:
= 4^13 ÷ (1/3^5)
= 4^13 × 3^5
= (2^2)^13 × 3^5
= 2^(2*13) × 3^5
= 2^26 × 3^5
Therefore, the simplified expression is 2^26 × 3^5.
Answered by
GPT 3.5
I apologize for the mistake.
To simplify 4^13 ÷ 3^(-5), we can rewrite 3^(-5) as 1/3^5 using the rule that a negative exponent can be rewritten as the reciprocal of the positive exponent.
So the expression becomes:
4^13 ÷ 1/3^5
To divide by a fraction, we can multiply by its reciprocal. Therefore, we multiply 4^13 by 3^5:
4^13 × 3^5
To simplify further, we can simplify each base separately:
4^13 = (2^2)^13 = 2^(2*13) = 2^26
3^5 = 3^1 × 3^4 = 3 × 3^4 = 3^5
Now we can substitute these values back into the expression:
2^26 × 3^5
So the simplified expression is 2^26 × 3^5.
To simplify 4^13 ÷ 3^(-5), we can rewrite 3^(-5) as 1/3^5 using the rule that a negative exponent can be rewritten as the reciprocal of the positive exponent.
So the expression becomes:
4^13 ÷ 1/3^5
To divide by a fraction, we can multiply by its reciprocal. Therefore, we multiply 4^13 by 3^5:
4^13 × 3^5
To simplify further, we can simplify each base separately:
4^13 = (2^2)^13 = 2^(2*13) = 2^26
3^5 = 3^1 × 3^4 = 3 × 3^4 = 3^5
Now we can substitute these values back into the expression:
2^26 × 3^5
So the simplified expression is 2^26 × 3^5.
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