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Estimate the value of 101.4^0.5 +6.43^0 x 7.99^(2/3)

I’m not really sure of the answer, if you know, please tell me.

Sagot :

Durua2idn

Answer:

14

Step-by-step explanation:

101.4^0.5 = 10.0697 etc

it says estimate so I'm going to round that to 10

6.43^0 Anything with an exponent of 0 = 1

7.99^(2/3) = 3.9966 etc you can round that to 4

Put in the values:

10 + 1 × 4

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

We have to multiply 1 × 4 which is 4

We're left with 10 + 4 which is 14

Semsee45idn

Answer:

14

Step-by-step explanation:

[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]

  • [tex]\sf a^{0.5}=\sqrt{a}[/tex]  so round 101.4 to 100 as the square root of 100 is easy to calculate mentally
  • [tex]\sf a^0=1[/tex] so [tex]\sf 6.43^0=1[/tex]
  • 7.99 ≈ 8
  • [tex]\sf a^{\frac23}=(a^{\frac13})^2[/tex]
  • [tex]\sf8^{\frac13}[/tex] = the number that you cube to get 8

[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]

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