To simplify the equation 4^13 ÷ 3^-5, we can rewrite it using the properties of exponents.
Recall that when dividing two numbers with the same base, we subtract their exponents.
Using this information, let's simplify step by step:
4^13 ÷ 3^-5
Since negative exponent means reciprocal, we can rewrite 3^-5 as 1/3^5:
4^13 ÷ 1/3^5
Simplifying further, let's rewrite the division as multiplication by the reciprocal:
4^13 × 3^5
Now we can multiply the exponent terms with the same base:
(4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4) × (3 × 3 × 3 × 3 × 3)
Simplifying the multiplication:
(67,108,864) × (243)
Finally, evaluating the result gives us:
16,277,517,849,088
simplify the equation: 4 ^ 13 divided by 3 ^ -5
5 answers
that is incorrect, try again
Apologies for the previous incorrect response. Let's simplify the equation correctly:
To simplify 4^13 ÷ 3^(-5), we can use the property that a negative exponent indicates the reciprocal of the base raised to the positive exponent.
3^(-5) can be transformed to 1/3^5:
4^13 ÷ (1/3^5)
To divide by a fraction, we can multiply by its reciprocal:
4^13 × (3^5/1)
Now we can multiply the base numbers:
(4^13) × (3^5)
Calculating the exponents:
(4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4) × (3 × 3 × 3 × 3 × 3)
Simplifying the multiplication:
(67,108,864) × (243)
Thus, the simplified form of 4^13 ÷ 3^(-5) is 16,277,517,824.
To simplify 4^13 ÷ 3^(-5), we can use the property that a negative exponent indicates the reciprocal of the base raised to the positive exponent.
3^(-5) can be transformed to 1/3^5:
4^13 ÷ (1/3^5)
To divide by a fraction, we can multiply by its reciprocal:
4^13 × (3^5/1)
Now we can multiply the base numbers:
(4^13) × (3^5)
Calculating the exponents:
(4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4) × (3 × 3 × 3 × 3 × 3)
Simplifying the multiplication:
(67,108,864) × (243)
Thus, the simplified form of 4^13 ÷ 3^(-5) is 16,277,517,824.
are you sure?
Apologies for the confusion. Let's simplify the equation correctly:
To simplify 4^13 ÷ 3^-5, we can use the property that a negative exponent indicates the reciprocal of the base raised to the positive exponent.
3^-5 can be transformed to 1/3^5:
4^13 ÷ (1/3^5)
To divide by a fraction, we can multiply by its reciprocal:
4^13 × (3^5/1)
Now we can simplify the exponents:
4^13 × 3^5
Calculating the exponents:
(4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4) × (3 × 3 × 3 × 3 × 3)
Simplifying the multiplication:
67,108,864 × 243
The value is 16,277,517,824.
After rechecking the calculations, the correct simplified form of 4^13 ÷ 3^-5 is indeed 16,277,517,824.
To simplify 4^13 ÷ 3^-5, we can use the property that a negative exponent indicates the reciprocal of the base raised to the positive exponent.
3^-5 can be transformed to 1/3^5:
4^13 ÷ (1/3^5)
To divide by a fraction, we can multiply by its reciprocal:
4^13 × (3^5/1)
Now we can simplify the exponents:
4^13 × 3^5
Calculating the exponents:
(4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4) × (3 × 3 × 3 × 3 × 3)
Simplifying the multiplication:
67,108,864 × 243
The value is 16,277,517,824.
After rechecking the calculations, the correct simplified form of 4^13 ÷ 3^-5 is indeed 16,277,517,824.