Question 158(iii)Find a single machine that will do the same job as th

1.	Question 158(iii)Find a single machine that will do the same job as the given hook-up.a(×599) machine followed by a (5−100) machine.Maya multiplied (42×32) by thinking about stretching machines.Use Maya's idea to multiply 53×23.Maya's idea is another product law of exponents.Multiplying Expressions with the same Exponentsac×bc=(a×b)cYou can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. 28×38×78=(2×3×7)8=428.
Answer» Question 158(iii) Find a single machine that will do the same job as the given hook-up. $a (\times 5^{99})$ machine followed by a $(5^{- 100})$ machine. Maya multiplied $(4^{2} \times 3^{2})$ by thinking about stretching machines. Use Maya's idea to multiply $5^{3} \times 2^{3}$ . Maya's idea is another product law of exponents. Multiplying Expressions with the same Exponents $a^{c} \times b^{c} = (a \times b)^{c}$ You can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. $2^{8} \times 3^{8} \times 7^{8} = (2 \times 3 \times 7)^{8} = 42^{8}$ .

Question 158(iii)Find a single machine that will do the same job as the given hook-up.a(×599) machine followed by a (5−100) machine.Maya multiplied (42×32) by thinking about stretching machines.Use Maya's idea to multiply 53×23.Maya's idea is another product law of exponents.Multiplying Expressions with the same Exponentsac×bc=(a×b)cYou can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. 28×38×78=(2×3×7)8=428.

Answer»

Question 158(iii)

Find a single machine that will do the same job as the given hook-up.

$a (\times 5^{99})$ machine followed by a $(5^{- 100})$ machine.

Maya multiplied $(4^{2} \times 3^{2})$ by thinking about stretching machines.

Use Maya's idea to multiply $5^{3} \times 2^{3}$ .

Maya's idea is another product law of exponents.

Multiplying Expressions with the same Exponents

$a^{c} \times b^{c} = (a \times b)^{c}$

You can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. $2^{8} \times 3^{8} \times 7^{8} = (2 \times 3 \times 7)^{8} = 42^{8}$ .

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