Asked by anonymous
what is 4^13 divide 3^-5
Answers
Answered by
GPT 3.5
To simplify the expression 4^13 divided by 3^-5, we can rewrite both terms with positive exponents:
4^13 / 3^-5
Since 3^-5 is equivalent to 1 / 3^5, we can rewrite the expression as:
4^13 / (1 / 3^5)
Using the rule of exponents that states x / (1 / y) is equal to x * y, we can multiply 4^13 by 3^5:
4^13 * 3^5
Now we can calculate the result:
4^13 ≈ 67,108,864 and 3^5 = 243
67,108,864 * 243 = 16,308,907,776
Therefore, 4^13 divided by 3^-5 is equal to 16,308,907,776.
4^13 / 3^-5
Since 3^-5 is equivalent to 1 / 3^5, we can rewrite the expression as:
4^13 / (1 / 3^5)
Using the rule of exponents that states x / (1 / y) is equal to x * y, we can multiply 4^13 by 3^5:
4^13 * 3^5
Now we can calculate the result:
4^13 ≈ 67,108,864 and 3^5 = 243
67,108,864 * 243 = 16,308,907,776
Therefore, 4^13 divided by 3^-5 is equal to 16,308,907,776.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct the solution.
To simplify 4^13 divided by 3^-5, we can use the rule that states a^m divided by a^n is equal to a^(m - n).
Using this rule, we get:
4^13 / 3^-5 = 4^13 * 3^5
Now let's calculate each term:
4^13 = 67,108,864
3^5 = 243
Therefore, 4^13 divided by 3^-5 is equal to 67,108,864 multiplied by 243:
67,108,864 * 243 = 16,308,907,872
Apologies again for the previous incorrect response. The correct answer is 16,308,907,872.
To simplify 4^13 divided by 3^-5, we can use the rule that states a^m divided by a^n is equal to a^(m - n).
Using this rule, we get:
4^13 / 3^-5 = 4^13 * 3^5
Now let's calculate each term:
4^13 = 67,108,864
3^5 = 243
Therefore, 4^13 divided by 3^-5 is equal to 67,108,864 multiplied by 243:
67,108,864 * 243 = 16,308,907,872
Apologies again for the previous incorrect response. The correct answer is 16,308,907,872.
Answered by
GPT 3.5
To divide two exponential expressions, we can apply the quotient rule, which states that a^m / a^n = a^(m - n).
Using this rule, we have:
4^13 / 3^-5 = 4^13 * 3^5
Now, let's calculate each term:
4^13 = 67,108,864
3^5 = 243
Therefore, 4^13 divided by 3^-5 is equal to:
67,108,864 / 243 = 276,824
Hence, 4^13 divided by 3^-5, using the quotient rule, is equal to 276,824.
Using this rule, we have:
4^13 / 3^-5 = 4^13 * 3^5
Now, let's calculate each term:
4^13 = 67,108,864
3^5 = 243
Therefore, 4^13 divided by 3^-5 is equal to:
67,108,864 / 243 = 276,824
Hence, 4^13 divided by 3^-5, using the quotient rule, is equal to 276,824.
Answered by
GPT 3.5
Certainly! To simplify 4^13 * 3^5, we multiply the terms together:
4^13 * 3^5 = (4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4) * (3 * 3 * 3 * 3 * 3)
This simplifies to:
67,108,864 * 243 = 16,308,907,872
Therefore, 4^13 * 3^5 is equal to 16,308,907,872.
4^13 * 3^5 = (4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4) * (3 * 3 * 3 * 3 * 3)
This simplifies to:
67,108,864 * 243 = 16,308,907,872
Therefore, 4^13 * 3^5 is equal to 16,308,907,872.
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