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KengaRu [80]
3 years ago
11

There are 50 animals in a shelter. Three hundred vehicles are parked in a parking garage. Seventy of the vehicles are midsized c

ars. Which equation can be use to find the number of midsized cars in the parking garage?
Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

230

Step-by-step explanation:

300 - 70 = 270 boom

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If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?
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Answer:

n=30

Step-by-step explanation:

Given expression:

3^1\times 9^2\times 27^3\times 81^4

The given expression needs to be simplified to the form 3^n

Applying the exponents rule to simplify.

3^1\times 9^2\times 27^3\times 81^4

Writing all numbers as product of 3.

⇒ 3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4

Writing each in exponents form.

⇒ 3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4

Using power of a power rule [\ (a^x)^y=a^{xy}\ ]

⇒ 3^1\times 3^4\times 3^9\times 3^16

Using multiplication rule of exponents [\ a^x\times a^y=a^{x+y}\ ]

⇒ 3^{1+4+9+16}

⇒ 3^{30}

So we have 3^n=3^{30}

∴ n=30

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