While multiplying same variables, exponents are added. Using commutative property, 9z^2× 10z^3=(9× 10)× (z^2× z^3) 9z^2× 10z^3=90× (z^2× z^3) By addition of exp ...

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Byju's Answer

Standard VII

Mathematics

Rules of Multiplication of Terms

Simplify 9z2×...

Question

Simplify $9 z^{2} \times 10 z^{3}$ .

90 z^{5}

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90 z^{6}

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19 z^{5}

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Solution

The correct option is A $90 z^{5}$
While multiplying same variables, exponents are added.
Using commutative property,
$9 z^{2} \times 10 z^{3} = (9 \times 10) \times (z^{2} \times z^{3})$
$9 z^{2} \times 10 z^{3} = 90 \times (z^{2} \times z^{3})$
By addition of exponent we get,
$90 \times (z^{2} \times z^{3}) = 90 \times z^{(2 + 3)}$
$\Rightarrow$ $9 z^{2} \times 10 z^{3} = 90 z^{5}$

Suggest Corrections

Simplify 9z2×10z3.

The correct option is A 90z5While multiplying same variables, exponents are added. Using commutative property, 9z2×10z3=(9×10)×(z2×z3) 9z2×10z3=90×(z2×z3) By addition of exponent we get, 90×(z2×z3)=90×z(2+3) ⇒ 9z2×10z3=90z5

Simplify $9 z^{2} \times 10 z^{3}$ .