Find the numerical equivalent of 3 9⋅3 −5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

To evaluate the expression \( 39 \cdot 3 - 5 \), we first perform the multiplication:

\[ 39 \cdot 3 = 117 \]

Now, we subtract 5 from 117:

\[ 117 - 5 = 112 \]

So, the numerical equivalent of the expression \( 39 \cdot 3 - 5 \) is:

\[ \boxed{112} \]

anonymous anonymous answered
4 hours ago
Its 3 to the power of -5
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

Thank you for the clarification. If you want to evaluate the expression \( 3^9 \cdot 3^{-5} \), we can simplify it using the properties of exponents.

Recall that when multiplying two powers with the same base, you add the exponents:

\[ 3^9 \cdot 3^{-5} = 3^{9 + (-5)} = 3^{9 - 5} = 3^4 \]

Now, we can calculate \( 3^4 \):

\[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \]

So, the numerical equivalent of \( 3^9 \cdot 3^{-5} \) is:

\[ \boxed{81} \]