Evaluate the expression.
\( _5^9 \) \( _2^4 \) \( _1^4 \)
To evaluate the expression \( _5^9 \) \( _2^4 \) \( _1^4 \), we need to perform each exponentiation operation separately and then multiply the results.
Let's start by evaluating \( _5^9 \). This means raising the base 5 to the power of 9. To do this, we multiply 5 by itself 9 times:
\( _5^9 = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \)
Now we can simplify this expression using multiplication:
\( _5^9 = 1953125 \)
Next, let's evaluate \( _2^4 \). We raise the base 2 to the power of 4:
\( _2^4 = 2 \times 2 \times 2 \times 2 \)
Again, we can simplify this expression using multiplication:
\( _2^4 = 16 \)
Lastly, we evaluate \( _1^4 \). Here, any number raised to the power of 1 is itself:
\( _1^4 = 1 \)
Now, to find the value of the entire expression, we multiply the results:
\( _5^9 \) \( _2^4 \) \( _1^4 = 1953125 \times 16 \times 1 \)
Finally, performing the multiplication:
\( _5^9 \) \( _2^4 \) \( _1^4 = 31,250,000 \)