Simplify 4^13 / 3^-5 pls
To simplify the expression 4^13 / 3^-5, we can use the rules of exponents.
First, let's simplify the numerator, 4^13. To do this, we apply the rule that says when we raise one exponent to another exponent, we multiply the exponents. Therefore, 4^13 can be simplified as (2^2)^13 = 2^(2*13) = 2^26.
Next, we simplify the denominator, 3^-5. According to the rule that says when we have a negative exponent, we can rewrite the expression by taking the reciprocal and making the exponent positive. Therefore, 3^-5 can be written as 1/(3^5).
Now we can substitute these simplified expressions back into the original expression: (2^26) / (1/(3^5)).
To divide by a fraction, we can multiply by its reciprocal. Thus, we multiply the numerator by the reciprocal of the denominator:
(2^26) * (3^5 / 1) = (2^26) * (3^5).
Now we simplify the expression further by using the rule that says when we multiply exponents with the same base, we add the exponents. Therefore:
(2^26) * (3^5) = 2^26 * 3^5 = 2^(26+5) * 3^5 = 2^31 * 3^5.
So, the simplified expression is 2^31 * 3^5.
To simplify the expression (4^13) / (3^-5), we can use the rule of division of exponents.
When dividing two terms with the same base, we subtract the exponents. Therefore, we can rewrite the expression as 4^13 * 3^5.
Since the exponent is positive, we can simplify further by multiplying the bases and adding the exponents, resulting in 4^13 * 3^5.
Now, we can evaluate this expression by raising 4 to the power of 13 and 3 to the power of 5.
4^13 equals 67,108,864, while 3^5 equals 243.
Therefore, the simplified expression is 67,108,864 * 243, which equals 16,277,460,992.
To simplify the expression 4^13 / 3^-5, we can use the properties of exponents.
First, let's deal with the numerator, 4^13. We can rewrite this as (2^2)^13. By applying the rule (a^m)^n = a^(m * n), we can simplify this to 2^(2 * 13) = 2^26.
Now let's focus on the denominator, 3^-5. The negative exponent indicates that we should take the reciprocal of the base with the positive exponent. So 3^-5 is equal to 1 / 3^5.
To simplify further, we can now divide 2^26 by 1 / 3^5. Dividing by a fraction is the same as multiplying by its reciprocal. So, we have 2^26 * (3^5 / 1).
To simplify the expression, we can multiply the numbers with the same base together. Thus, we have 2^26 * 3^5.
Now, 2^26 represents a large number, but the expression cannot be simplifi