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.
Simplify 4^13÷3^−5 .(1 point)
3 answers
wrong
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.
3 answers