To convert the exponential form [tex]\( 11^5 \)[/tex] into a multiplication expression in standard form, you need to expand the exponentiation.
Here is the step-by-step breakdown:
1. The exponent [tex]\( 5 \)[/tex] indicates that the base [tex]\( 11 \)[/tex] should be multiplied by itself 5 times.
2. Hence, [tex]\( 11^5 \)[/tex] can be written as:
[tex]\[ 11^5 = 11 \times 11 \times 11 \times 11 \times 11 \][/tex]
When you perform the multiplication of these values step-by-step, you will get:
[tex]\[ 11 \times 11 = 121 \][/tex]
[tex]\[ 121 \times 11 = 1331 \][/tex]
[tex]\[ 1331 \times 11 = 14641 \][/tex]
[tex]\[ 14641 \times 11 = 161051 \][/tex]
Therefore, the multiplication expression [tex]\( 11 \times 11 \times 11 \times 11 \times 11 \)[/tex] results in the final value: 161051.
So, the expanded multiplication expression in standard form is:
[tex]\[ 11^5 = 11 \times 11 \times 11 \times 11 \times 11 \][/tex]
