Certainly! Let's resolve the given expression [tex]\( M = 10^1 + (17 \times 14)^0 - (10 - 9)^{15} \)[/tex] step by step.
1. First Term: [tex]\( 10^1 \)[/tex]
To resolve [tex]\( 10^1 \)[/tex]:
[tex]\[
10^1 = 10
\][/tex]
Thus, the first term is 10.
2. Second Term: [tex]\( (17 \times 14)^0 \)[/tex]
First, we multiply 17 by 14:
[tex]\[
17 \times 14 = 238
\][/tex]
Next, we raise 238 to the power of 0:
[tex]\[
238^0 = 1
\][/tex]
Because any non-zero number raised to the power of 0 is 1. Thus, the second term is 1.
3. Third Term: [tex]\( (10 - 9)^{15} \)[/tex]
First, we subtract 9 from 10:
[tex]\[
10 - 9 = 1
\][/tex]
Next, we raise 1 to the power of 15:
[tex]\[
1^{15} = 1
\][/tex]
Because 1 raised to any power is always 1. Thus, the third term is 1.
4. Combining All Terms
Now that we have all the individual terms calculated, we combine them as indicated:
[tex]\[
M = 10 + 1 - 1
\][/tex]
Simplify the expression:
[tex]\[
M = 10
\][/tex]
So, the resolved value of M is 10.
