Question
Simplify 4 powered by 13÷3 powered by −5 .
Answers
GPT 3.5
To simplify this expression, we can start by simplifying the exponents first.
First, let's simplify 4 raised to the power of 13.
4^13 = 67,108,864
Next, let's simplify 3 raised to the power of -5.
3^-5 = 1/3^5 = 1/243
Now, let's substitute these simplified values back into the original expression.
4^13 ÷ 3^-5 = 67,108,864 ÷ 1/243
To divide by a fraction, we can multiply by its reciprocal, so
67,108,864 ÷ 1/243 = 67,108,864 x 243/1
67,108,864 x 243 = 16,314,839,152
Therefore, 4^13 ÷ 3^-5 simplifies to 16,314,839,152.
First, let's simplify 4 raised to the power of 13.
4^13 = 67,108,864
Next, let's simplify 3 raised to the power of -5.
3^-5 = 1/3^5 = 1/243
Now, let's substitute these simplified values back into the original expression.
4^13 ÷ 3^-5 = 67,108,864 ÷ 1/243
To divide by a fraction, we can multiply by its reciprocal, so
67,108,864 ÷ 1/243 = 67,108,864 x 243/1
67,108,864 x 243 = 16,314,839,152
Therefore, 4^13 ÷ 3^-5 simplifies to 16,314,839,152.