Simplify 510 ⋅ 55

Question

(1 point)
Responses

2515
25 to the 15th power

550
5 to the 50th power

2550
25 to the 50th power

515

Answer 1

To simplify \( 510 \cdot 55 \), we can start by breaking down the numbers:

1. \( 510 \) can be expressed as \( 5 \cdot 10 \) (which is equal to \( 5 \cdot 2 \cdot 5 = 5^2 \cdot 2 \)).
2. \( 55 \) can be expressed as \( 5 \cdot 11 \).

Now we multiply:

\[ 510 \cdot 55 = (5 \cdot 10) \cdot (5 \cdot 11) = 5^2 \cdot (2 \cdot 5) \cdot 11 = 5^3 \cdot 2 \cdot 11 \]

However, for the options given, we'll calculate the product directly:

\[ 510 \cdot 55 = 28050 \]

From observing the options, they appear to be expressible in base powers of either \( 5 \) or \( 25 \). The products \( 510 \) and \( 55 \) suggest we look at the result more simplistically through combinations of factors.

However, based on the responses in your list and the forms of expression they suggest (such as powers of 25 or powers of 5), the answer that's most similar to what one might simplify down to using those is:

None of the options is directly calculated from \( 510 \cdot 55 \). Therefore, a more straightforward answer is 28050, or checking them suggests some errors or misinterpretations in formatting among standard powers.

But parsed back to common factors reflects out as productively no clear match from the ranks initially given under another readable category. Verify any alternative option layout.

If needed direct values translate toward associations of simply deciphering values would lead to breaking through integers or double-check relating through formats, applying direct amounts of factor pairing. In more harmless language outputs:

1. Check factored respondents.
2. Search error tracing as integrative checks for \( 28050 \) seeking \( twenties as crucial routes}\).

Answer 2

what is the answer

Answer 3

To solve \( 510 \cdot 55 \), we can calculate it directly:

\[ 510 \cdot 55 = 28050 \]

However, looking at the given answer choices, they appear to express different power forms rather than direct numerical results. None of the options reflect \( 28050 \) or any expression thereof accurately.

Given the options you've provided:

1. 2515
2. \( 25^{15} \)
3. 550
4. \( 5^{50} \)
5. 2550
6. \( 25^{50} \)
7. 515

None of these options is correct based on the evaluation of \( 510 \cdot 55 \) resulting directly as \( 28050 \).

If you're seeking correct formatting among the other lines initially involving powers and simplistically looking through, please verify the accurate values portrayed here or correct interpretations of simplified numeric association with groundwork values for functional checking through.

If you were looking for interpretative context and mean relational aspect equivalently explored, kindly re-evaluate or clarify alongside the structured question flow toward resolving analytical facet measures.

In summary, the answer is not present among the options you provided. The true calculation yields 28050.

Answer 4

Simplify 510 ⋅ 55
(1 point)

Answer 5

To simplify \( 510 \cdot 55 \), we can calculate the expression directly:

\[ 510 \cdot 55 = 28050 \]

However, if you meant to write the numbers in terms of powers, we can break them down into their prime factors.

1. \( 510 = 5 \times 102 = 5 \times (2 \times 51) = 5 \times 2 \times (3 \times 17) \)

   • So, \( 510 = 5^1 \times 2^1 \times 3^1 \times 17^1 \)

2. \( 55 = 5 \times 11 \)

   • So, \( 55 = 5^1 \times 11^1 \)

Now, multiplying:

\[ 510 \cdot 55 = (5^1 \cdot 2^1 \cdot 3^1 \cdot 17^1) \cdot (5^1 \cdot 11^1) = 5^{1+1} \cdot 2^1 \cdot 3^1 \cdot 17^1 \cdot 11^1 = 5^2 \cdot 2^1 \cdot 3^1 \cdot 17^1 \cdot 11^1 \]

Since simplification yields complications, the cleaner and straightforward answer to \( 510 \cdot 55 = 28050 \).

Therefore, the final simplified value remains 28050.