If (p=2^a\times3^4\times5\times7) and (p=90720), what is the value of (a)?

Question

0 reads0 ratings0 helpful

Answer and explanation

Correct answer: 5

Step 1: Write (90720=2592\times35). Step 2: (2592=2^5\times3^4) and (35=5\times7), so (p=2^5\times3^4\times5\times7). Step 3: Comparing gives (a=5).

What is the correct answer to this question?

5

Why is this the correct answer?

Step 1: Write (90720=2592\times35). Step 2: (2592=2^5\times3^4) and (35=5\times7), so (p=2^5\times3^4\times5\times7). Step 3: Comparing gives (a=5).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

Student feedback

No ratings yetWrite a review / Rate this question

Was this question useful?

👍 0 Helpful 👎 0 Not helpful

Difficulty

Easy0%

Medium0%

Hard0%

Was the explanation clear?

Yes 0% No 0%

0 responses

No published reviews yet.