Asked by lumity
4^13 / 3^-5
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Answered by
GPT 3.5
To simplify the expression, we need to use the properties of exponents.
Recall that when you divide two powers with the same base, you subtract their exponents.
So, 4^13/3^-5 is equivalent to (4^13) * (3^5), since dividing by a negative number is equivalent to multiplying by its reciprocal.
Now, let's simplify each term.
4^13 = (2^2)^13 = 2^26, using the property (a^b)^c = a^(b*c).
3^5 = 3 * 3^4 = 3 * (3^2)^2 = 3 * 9^2 = 3 * 81 = 243.
Therefore, 4^13/3^-5 simplifies to (2^26) * 243.
To calculate this value, you would multiply 2^26 by 243.
Recall that when you divide two powers with the same base, you subtract their exponents.
So, 4^13/3^-5 is equivalent to (4^13) * (3^5), since dividing by a negative number is equivalent to multiplying by its reciprocal.
Now, let's simplify each term.
4^13 = (2^2)^13 = 2^26, using the property (a^b)^c = a^(b*c).
3^5 = 3 * 3^4 = 3 * (3^2)^2 = 3 * 9^2 = 3 * 81 = 243.
Therefore, 4^13/3^-5 simplifies to (2^26) * 243.
To calculate this value, you would multiply 2^26 by 243.
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