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Sagot :
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
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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