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Fittoniya [83]
3 years ago
14

Find the simplified form of the expression. Give your answer in scientific notation.

Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

1.8 x 10^{13}

Step-by-step explanation:

The expression is [3x10^6][6x10^8} ]

Step 1: Multiply the coefficients 3 and 6, we get 18.

Step 2: If we have the same base, we add the powers.

So 10^6 *10^8 = 10^(6 + 8) = 10^{12}

Step 3: Now combine 18 and 10^{12}

= 18 x 10^{12}

The coefficient must be less than 10, in 18, we have one 10, we can move that to the exponent and 18 = 1.8 *10

Step 4: When we simplify, we get 1.8 x 10^{13}

Hope you will understand the steps.

Thank you.

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<u>Step-by-step explanation:</u>

Cube 1: V = 6³ = 216

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New Cube: V = 1728

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So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

144 + 144 = diagonal²

288 = diagonal²

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12√2 = diagonal


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