Question

simply the following using the law of exponents and write the answer in exponential form (4²) ².(x³) 2÷8x5(x²) ³​

Answer 1

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simply the following using the law of exponents and write the answer in exponential form (4²) ².(x³) 2÷8x5(x²) ³

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ʀᴜʟᴇ:

$\binom{a {}^{m}} {}^{n} {} = {a}^{m \times n}$

sᴏʟᴠᴀᴛɪᴏɴ:

$( {4}^{2}) {}^{2} \: \: (x {}^{3}) {}^{2} \div 8 \times 5(x {}^{2} ) {}^{3}$

$= {4}^{4} \times ( {x}^{6} ) \div 40 \: {x}^{6}$

$\: = 256 \: \: {x}^{6} \div \: 40 {x}^{6}$

$\frac{256}{} {x}^{6} \div \frac{40}{} {x}^{6} = 256 \div 40 = 6.4$

ʜᴇɴᴄᴇ sᴏʟᴠᴇᴅ ʙʏ ᴄᴀɴᴅʏ ʙʟᴜsʜ

Answer 2

Step-by-step explanation:

n

=a

m×n

sᴏʟᴠᴀᴛɪᴏɴ:

( {4}^{2}) {}^{2} \: \: (x {}^{3}) {}^{2} \div 8 \times 5(x {}^{2} ) {}^{3}(4

2

)

2

(x

3

)

2

÷8×5(x

2

)

3

= {4}^{4} \times ( {x}^{6} ) \div 40 \: {x}^{6}=4

4

×(x

6

)÷40x

6

\: = 256 \: \: {x}^{6} \div \: 40 {x}^{6}=256x

6

÷40x

6

\frac{256}{} {x}^{6} \div \frac{40}{} {x}^{6} = 256 \div 40 = 6.4

256

x

6

÷

40

x

6

=256÷40=6.4

ʜᴇɴᴄᴇ sᴏʟᴠᴇᴅ ʙʏ ᴄᴀɴᴅʏ ʙʟᴜsʜ